472806400 has 264 divisors, whose sum is σ = 1352395584. Its totient is φ = 162201600.

The previous prime is 472806361. The next prime is 472806413. The reversal of 472806400 is 4608274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6476764 + ... + 6476836.

Almost surely, 2^472806400 is an apocalyptic number.

472806400 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 472806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676197792).

472806400 is an abundant number, since it is smaller than the sum of its proper divisors (879589184).

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

472806400 is a wasteful number, since it uses less digits than its factorization.

472806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 472806400 is about 21744.1118466586. Note that the first 3 decimals coincide. The cubic root of 472806400 is about 779.0424365917.

The spelling of 472806400 in words is "four hundred seventy-two million, eight hundred six thousand, four hundred".