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474678680 = 235721991217
BaseRepresentation
bin11100010010110…
…000010110011000
31020002012011201212
4130102300112120
51433004204210
6115034002252
714522462600
oct3422602630
91202164655
10474678680
11223a42133
12112b76388
137745a878
1447083c00
152ba15805
hex1c4b0598

474678680 has 96 divisors (see below), whose sum is σ = 1249668000. Its totient is φ = 161796096.

The previous prime is 474678671. The next prime is 474678683. The reversal of 474678680 is 86876474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474678683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389432 + ... + 390648.

It is an arithmetic number, because the mean of its divisors is an integer number (13017375).

Almost surely, 2474678680 is an apocalyptic number.

474678680 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 474678680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624834000).

474678680 is an abundant number, since it is smaller than the sum of its proper divisors (774989320).

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

474678680 is a wasteful number, since it uses less digits than its factorization.

474678680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The square root of 474678680 is about 21787.1218842692. The cubic root of 474678680 is about 780.0693999175.

The spelling of 474678680 in words is "four hundred seventy-four million, six hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 199 245 280 392 398 490 796 980 995 1217 1393 1592 1960 1990 2434 2786 3980 4868 5572 6085 6965 7960 8519 9736 9751 11144 12170 13930 17038 19502 24340 27860 34076 39004 42595 48680 48755 55720 59633 68152 78008 85190 97510 119266 170380 195020 238532 242183 298165 340760 390040 477064 484366 596330 968732 1192660 1210915 1695281 1937464 2385320 2421830 3390562 4843660 6781124 8476405 9687320 11866967 13562248 16952810 23733934 33905620 47467868 59334835 67811240 94935736 118669670 237339340 474678680