472238764200 has 1680 divisors, whose sum is σ = 2049975712800. Its totient is φ = 100818950400.

The previous prime is 472238764189. The next prime is 472238764237. The reversal of 472238764200 is 2467832274.

472238764200 is a `hidden beast` number, since 4 + 7 + 2 + 2 + 387 + 64 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 6651250165 + ... + 6651250235.

Almost surely, 2^472238764200 is an apocalyptic number.

472238764200 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 472238764200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024987856400).

472238764200 is an abundant number, since it is smaller than the sum of its proper divisors (1577736948600).

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

472238764200 is an equidigital number, since it uses as much as digits as its factorization.

472238764200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 472238764200 in words is "four hundred seventy-two billion, two hundred thirty-eight million, seven hundred sixty-four thousand, two hundred".