476128800 has 576 divisors, whose sum is σ = 2039869440. Its totient is φ = 104924160.

The previous prime is 476128799. The next prime is 476128817. The reversal of 476128800 is 8821674.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7106367 + ... + 7106433.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2^476128800 is an apocalyptic number.

476128800 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 476128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019934720).

476128800 is an abundant number, since it is smaller than the sum of its proper divisors (1563740640).

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

476128800 is a wasteful number, since it uses less digits than its factorization.

476128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 476128800 is about 21820.3757987804. The cubic root of 476128800 is about 780.8629502514.

The spelling of 476128800 in words is "four hundred seventy-six million, one hundred twenty-eight thousand, eight hundred".