476872704 has 384 divisors, whose sum is σ = 1793037600. Its totient is φ = 123863040.

The previous prime is 476872679. The next prime is 476872717. The reversal of 476872704 is 407278674.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×476872704³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 476872704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43352059 + ... + 43352069.

Almost surely, 2^476872704 is an apocalyptic number.

476872704 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 476872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896518800).

476872704 is an abundant number, since it is smaller than the sum of its proper divisors (1316164896).

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

476872704 is an equidigital number, since it uses as much as digits as its factorization.

476872704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 476872704 is about 21837.4152316615. The cubic root of 476872704 is about 781.2694122622.

The spelling of 476872704 in words is "four hundred seventy-six million, eight hundred seventy-two thousand, seven hundred four".