472035831552 has 288 divisors, whose sum is σ = 1459031400960. Its totient is φ = 150251397120.

The previous prime is 472035831497. The next prime is 472035831559. The reversal of 472035831552 is 255138530274.

472035831552 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 3 + 583 + 15 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 472035831498 and 472035831507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472035831559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109850268 + ... + 109854564.

Almost surely, 2^472035831552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472035831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729515700480).

472035831552 is an abundant number, since it is smaller than the sum of its proper divisors (986995569408).

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

472035831552 is a wasteful number, since it uses less digits than its factorization.

472035831552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 472035831552 in words is "four hundred seventy-two billion, thirty-five million, eight hundred thirty-one thousand, five hundred fifty-two".