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469435480 = 235313471091
BaseRepresentation
bin11011111110110…
…000010001011000
31012201022210102021
4123332300101120
51430133413410
6114325344224
714430064363
oct3376602130
91181283367
10469435480
11220a90908
12111268074
1376343197
14464bb0da
152b32beda
hex1bfb0458

469435480 has 64 divisors (see below), whose sum is σ = 1094446080. Its totient is φ = 181027200.

The previous prime is 469435453. The next prime is 469435481. The reversal of 469435480 is 84534964.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469435481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429735 + ... + 430825.

It is an arithmetic number, because the mean of its divisors is an integer number (17100720).

Almost surely, 2469435480 is an apocalyptic number.

469435480 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 469435480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547223040).

469435480 is an abundant number, since it is smaller than the sum of its proper divisors (625010600).

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

469435480 is a wasteful number, since it uses less digits than its factorization.

469435480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 469435480 is about 21666.4597938842. The cubic root of 469435480 is about 777.1865990811.

The spelling of 469435480 in words is "four hundred sixty-nine million, four hundred thirty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 347 620 694 1091 1240 1388 1735 2182 2776 3470 4364 5455 6940 8728 10757 10910 13880 21514 21820 33821 43028 43640 53785 67642 86056 107570 135284 169105 215140 270568 338210 378577 430280 676420 757154 1352840 1514308 1892885 3028616 3785770 7571540 11735887 15143080 23471774 46943548 58679435 93887096 117358870 234717740 469435480