472802528 has 48 divisors (see below), whose sum is σ = 1027748736. Its totient is φ = 212307840.

The previous prime is 472802507. The next prime is 472802537. The reversal of 472802528 is 825208274.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 472802491 and 472802500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21125 + ... + 37307.

It is an arithmetic number, because the mean of its divisors is an integer number (21411432).

Almost surely, 2^472802528 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 472802528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513874368).

472802528 is an abundant number, since it is smaller than the sum of its proper divisors (554946208).

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

472802528 is a wasteful number, since it uses less digits than its factorization.

472802528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16287 (or 16279 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 472802528 is about 21744.0228108784. The cubic root of 472802528 is about 779.0403099563.

The spelling of 472802528 in words is "four hundred seventy-two million, eight hundred two thousand, five hundred twenty-eight".