476900864 has 120 divisors (see below), whose sum is σ = 1108007208. Its totient is φ = 203325440.

The previous prime is 476900863. The next prime is 476900903. The reversal of 476900864 is 468009674.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476900863) 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 11 ways as a sum of consecutive naturals, for example, 1627502 + ... + 1627794.

Almost surely, 2^476900864 is an apocalyptic number.

476900864 is a gapful number since it is divisible by the number (44) 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 476900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554003604).

476900864 is an abundant number, since it is smaller than the sum of its proper divisors (631106344).

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

476900864 is a wasteful number, since it uses less digits than its factorization.

476900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 476900864 is about 21838.0599870959. The cubic root of 476900864 is about 781.2847903099.

The spelling of 476900864 in words is "four hundred seventy-six million, nine hundred thousand, eight hundred sixty-four".