472255872000 has 704 divisors, whose sum is σ = 1788586195968. Its totient is φ = 109486080000.

The previous prime is 472255871987. The next prime is 472255872041. The reversal of 472255872000 is 278552274.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97149570 + ... + 97154430.

It is an arithmetic number, because the mean of its divisors is an integer number (2540605392).

Almost surely, 2^472255872000 is an apocalyptic number.

472255872000 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 472255872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894293097984).

472255872000 is an abundant number, since it is smaller than the sum of its proper divisors (1316330323968).

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

472255872000 is a wasteful number, since it uses less digits than its factorization.

472255872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 472255872000 in words is "four hundred seventy-two billion, two hundred fifty-five million, eight hundred seventy-two thousand".