473836800 has 432 divisors, whose sum is σ = 1733639040. Its totient is φ = 113541120.

The previous prime is 473836739. The next prime is 473836813. The reversal of 473836800 is 8638374.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12806382 + ... + 12806418.

Almost surely, 2^473836800 is an apocalyptic number.

473836800 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 473836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866819520).

473836800 is an abundant number, since it is smaller than the sum of its proper divisors (1259802240).

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

473836800 is a wasteful number, since it uses less digits than its factorization.

473836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 473836800 is about 21767.7927222766. The cubic root of 473836800 is about 779.6079555144.

The spelling of 473836800 in words is "four hundred seventy-three million, eight hundred thirty-six thousand, eight hundred".