477485568 has 240 divisors, whose sum is σ = 1600986816. Its totient is φ = 134184960.

The previous prime is 477485563. The next prime is 477485573. The reversal of 477485568 is 865584774.

477485568 is a `hidden beast` number, since 4 + 7 + 74 + 8 + 5 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (477485563) and next prime (477485573).

Its product of digits (7526400) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (477485563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3644863 + ... + 3644993.

Almost surely, 2^477485568 is an apocalyptic number.

477485568 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 477485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800493408).

477485568 is an abundant number, since it is smaller than the sum of its proper divisors (1123501248).

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

477485568 is a wasteful number, since it uses less digits than its factorization.

477485568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 477485568 is about 21851.4431560023. The cubic root of 477485568 is about 781.6039578133.

The spelling of 477485568 in words is "four hundred seventy-seven million, four hundred eighty-five thousand, five hundred sixty-eight".