477508608 has 264 divisors, whose sum is σ = 1520020320. Its totient is φ = 149299200.

The previous prime is 477508607. The next prime is 477508609. The reversal of 477508608 is 806805774.

It is an interprime number because it is at equal distance from previous prime (477508607) and next prime (477508609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477508601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4727758 + ... + 4727858.

Almost surely, 2^477508608 is an apocalyptic number.

477508608 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 477508608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760010160).

477508608 is an abundant number, since it is smaller than the sum of its proper divisors (1042511712).

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

477508608 is a wasteful number, since it uses less digits than its factorization.

477508608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 477508608 is about 21851.9703459436. The cubic root of 477508608 is about 781.6165291290.

The spelling of 477508608 in words is "four hundred seventy-seven million, five hundred eight thousand, six hundred eight".