476668800 has 288 divisors, whose sum is σ = 1766735880. Its totient is φ = 126904320.

The previous prime is 476668723. The next prime is 476668811. The reversal of 476668800 is 8866674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777294 + ... + 777906.

Almost surely, 2^476668800 is an apocalyptic number.

476668800 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 476668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883367940).

476668800 is an abundant number, since it is smaller than the sum of its proper divisors (1290067080).

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

476668800 is an equidigital number, since it uses as much as digits as its factorization.

476668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 476668800 is about 21832.7460480811. The cubic root of 476668800 is about 781.1580431500.

The spelling of 476668800 in words is "four hundred seventy-six million, six hundred sixty-eight thousand, eight hundred".