474925968 has 180 divisors, whose sum is σ = 1481261964. Its totient is φ = 141926400.

The previous prime is 474925967. The next prime is 474926003. The reversal of 474925968 is 869529474.

474925968 is a `hidden beast` number, since 4 + 7 + 49 + 2 + 596 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 267911424 + 207014544 = 16368^2 + 14388^2 .

It is not an unprimeable number, because it can be changed into a prime (474925963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1689988 + ... + 1690268.

Almost surely, 2^474925968 is an apocalyptic number.

474925968 is a gapful number since it is divisible by the number (48) 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 474925968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740630982).

474925968 is an abundant number, since it is smaller than the sum of its proper divisors (1006335996).

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

474925968 is a wasteful number, since it uses less digits than its factorization.

474925968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 474925968 is about 21792.7962409600. The cubic root of 474925968 is about 780.2048377211.

The spelling of 474925968 in words is "four hundred seventy-four million, nine hundred twenty-five thousand, nine hundred sixty-eight".