476407008 has 540 divisors, whose sum is σ = 1849278816. Its totient is φ = 119750400.

The previous prime is 476406991. The next prime is 476407013. The reversal of 476407008 is 800704674.

476407008 = 199³ + 200³ + ... + 242³.

It is a happy number.

476407008 is a `hidden beast` number, since 4 + 7 + 640 + 7 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 15367953 + ... + 15367983.

Almost surely, 2^476407008 is an apocalyptic number.

476407008 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 476407008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924639408).

476407008 is an abundant number, since it is smaller than the sum of its proper divisors (1372871808).

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

476407008 is a wasteful number, since it uses less digits than its factorization.

476407008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 476407008 is about 21826.7498267607. The cubic root of 476407008 is about 781.0150099608.

The spelling of 476407008 in words is "four hundred seventy-six million, four hundred seven thousand, eight".