472032259200 has 576 divisors, whose sum is σ = 1749520687200. Its totient is φ = 121091604480.

The previous prime is 472032259183. The next prime is 472032259207. The reversal of 472032259200 is 2952230274.

472032259200 is a `hidden beast` number, since 47 + 2 + 0 + 3 + 22 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (472032259207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82969956 + ... + 82975644.

Almost surely, 2^472032259200 is an apocalyptic number.

472032259200 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 472032259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874760343600).

472032259200 is an abundant number, since it is smaller than the sum of its proper divisors (1277488428000).

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

472032259200 is a wasteful number, since it uses less digits than its factorization.

472032259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 472032259200 its reverse (2952230274), we get a palindrome (474984489474).

The spelling of 472032259200 in words is "four hundred seventy-two billion, thirty-two million, two hundred fifty-nine thousand, two hundred".