474874560 has 336 divisors, whose sum is σ = 1745991936. Its totient is φ = 118204416.

The previous prime is 474874553. The next prime is 474874567. The reversal of 474874560 is 65478474.

474874560 is a `hidden beast` number, since 4 + 7 + 4 + 87 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (474874553) and next prime (474874567).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (474874567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4438027 + ... + 4438133.

Almost surely, 2^474874560 is an apocalyptic number.

474874560 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 474874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872995968).

474874560 is an abundant number, since it is smaller than the sum of its proper divisors (1271117376).

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

474874560 is a wasteful number, since it uses less digits than its factorization.

474874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 474874560 is about 21791.6167367178. The cubic root of 474874560 is about 780.1766858123.

The spelling of 474874560 in words is "four hundred seventy-four million, eight hundred seventy-four thousand, five hundred sixty".