472047825600 has 2016 divisors, whose sum is σ = 2033457350400. Its totient is φ = 106101964800.

The previous prime is 472047825527. The next prime is 472047825631. The reversal of 472047825600 is 6528740274.

It is a happy number.

472047825600 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 4 + 7 + 82 + 560 + 0 = 666.

472047825600 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5687323159 + ... + 5687323241.

It is an arithmetic number, because the mean of its divisors is an integer number (1008659400).

Almost surely, 2^472047825600 is an apocalyptic number.

472047825600 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 472047825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016728675200).

472047825600 is an abundant number, since it is smaller than the sum of its proper divisors (1561409524800).

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

472047825600 is a wasteful number, since it uses less digits than its factorization.

472047825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 472047825600 in words is "four hundred seventy-two billion, forty-seven million, eight hundred twenty-five thousand, six hundred".