472520448000 has 576 divisors, whose sum is σ = 1729163086560. Its totient is φ = 124084224000.

The previous prime is 472520447999. The next prime is 472520448019. The reversal of 472520448000 is 844025274.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154366470 + ... + 154369530.

Almost surely, 2^472520448000 is an apocalyptic number.

472520448000 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 472520448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864581543280).

472520448000 is an abundant number, since it is smaller than the sum of its proper divisors (1256642638560).

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

472520448000 is a wasteful number, since it uses less digits than its factorization.

472520448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 472520448000 in words is "four hundred seventy-two billion, five hundred twenty million, four hundred forty-eight thousand".