472707635400 has 2592 divisors, whose sum is σ = 2311901805600. Its totient is φ = 87744384000.

The previous prime is 472707635377. The next prime is 472707635419. The reversal of 472707635400 is 4536707274.

472707635400 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 0 + 7 + 635 + 4 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 15248633385 + ... + 15248633415.

It is an arithmetic number, because the mean of its divisors is an integer number (891937425).

Almost surely, 2^472707635400 is an apocalyptic number.

472707635400 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 472707635400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155950902800).

472707635400 is an abundant number, since it is smaller than the sum of its proper divisors (1839194170200).

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

472707635400 is a wasteful number, since it uses less digits than its factorization.

472707635400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 472707635400 in words is "four hundred seventy-two billion, seven hundred seven million, six hundred thirty-five thousand, four hundred".