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470241480 = 233531831523
BaseRepresentation
bin11100000001110…
…101000011001000
31012202211202001010
4130001311003020
51430340211410
6114354523520
714436662262
oct3401650310
91182752033
10470241480
11221491425
121115965a0
1376565cc7
144664ab32
152b43ac20
hex1c0750c8

470241480 has 128 divisors (see below), whose sum is σ = 1474744320. Its totient is φ = 119811840.

The previous prime is 470241479. The next prime is 470241481. The reversal of 470241480 is 84142074.

It is an interprime number because it is at equal distance from previous prime (470241479) and next prime (470241481).

It is a super-3 number, since 3×4702414803 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (470241481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307999 + ... + 309521.

It is an arithmetic number, because the mean of its divisors is an integer number (11521440).

Almost surely, 2470241480 is an apocalyptic number.

470241480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470241480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

470241480 is an abundant number, since it is smaller than the sum of its proper divisors (1004502840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470241480 is a wasteful number, since it uses less digits than its factorization.

470241480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 470241480 is about 21685.0519944039. The cubic root of 470241480 is about 777.6311431201.

The spelling of 470241480 in words is "four hundred seventy million, two hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 83 93 120 124 155 166 186 248 249 310 332 372 415 465 498 620 664 744 830 930 996 1240 1245 1523 1660 1860 1992 2490 2573 3046 3320 3720 4569 4980 5146 6092 7615 7719 9138 9960 10292 12184 12865 15230 15438 18276 20584 22845 25730 30460 30876 36552 38595 45690 47213 51460 60920 61752 77190 91380 94426 102920 126409 141639 154380 182760 188852 236065 252818 283278 308760 377704 379227 472130 505636 566556 632045 708195 758454 944260 1011272 1133112 1264090 1416390 1516908 1888520 1896135 2528180 2832780 3033816 3792270 3918679 5056360 5665560 7584540 7837358 11756037 15169080 15674716 19593395 23512074 31349432 39186790 47024148 58780185 78373580 94048296 117560370 156747160 235120740 470241480