476352800 has 432 divisors, whose sum is σ = 1579273920. Its totient is φ = 136857600.

The previous prime is 476352797. The next prime is 476352809. The reversal of 476352800 is 8253674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (476352809) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12874382 + ... + 12874418.

Almost surely, 2^476352800 is an apocalyptic number.

476352800 is a gapful number since it is divisible by the number (40) 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 476352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789636960).

476352800 is an abundant number, since it is smaller than the sum of its proper divisors (1102921120).

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

476352800 is a wasteful number, since it uses less digits than its factorization.

476352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 476352800 is about 21825.5080124152. The cubic root of 476352800 is about 780.9853862239.

The spelling of 476352800 in words is "four hundred seventy-six million, three hundred fifty-two thousand, eight hundred".