472872000 has 448 divisors, whose sum is σ = 1768815360. Its totient is φ = 110592000.

The previous prime is 472871977. The next prime is 472872007. The reversal of 472872000 is 278274.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (472872007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7751970 + ... + 7752030.

Almost surely, 2^472872000 is an apocalyptic number.

472872000 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 472872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884407680).

472872000 is an abundant number, since it is smaller than the sum of its proper divisors (1295943360).

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

472872000 is a wasteful number, since it uses less digits than its factorization.

472872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 472872000 is about 21745.6202486846. The cubic root of 472872000 is about 779.0784646013.

The spelling of 472872000 in words is "four hundred seventy-two million, eight hundred seventy-two thousand".