472522752 has 336 divisors, whose sum is σ = 1610121240. Its totient is φ = 132120576.

The previous prime is 472522751. The next prime is 472522759. The reversal of 472522752 is 257225274.

It can be written as a sum of positive squares in 4 ways, for example, as 391090176 + 81432576 = 19776^2 + 9024^2 .

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

Its product of digits (78400) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (472522751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16293874 + ... + 16293902.

Almost surely, 2^472522752 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 472522752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805060620).

472522752 is an abundant number, since it is smaller than the sum of its proper divisors (1137598488).

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

472522752 is a wasteful number, since it uses less digits than its factorization.

472522752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 472522752 is about 21737.5884587044. The cubic root of 472522752 is about 778.8866166247.

The spelling of 472522752 in words is "four hundred seventy-two million, five hundred twenty-two thousand, seven hundred fifty-two".