472512 has 56 divisors (see below), whose sum is σ = 1316736. Its totient is φ = 149248.

The previous prime is 472477. The next prime is 472523. The reversal of 472512 is 215274.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472512.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4363 + ... + 4469.

2⁴⁷²⁵¹² 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 472512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658368).

472512 is an abundant number, since it is smaller than the sum of its proper divisors (844224).

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

472512 is a wasteful number, since it uses less digits than its factorization.

472512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 472512 is about 687.3950829036. The cubic root of 472512 is about 77.8880708865. Note that the first 3 decimals are identical.

Adding to 472512 its reverse (215274), we get a palindrome (687786).

The spelling of 472512 in words is "four hundred seventy-two thousand, five hundred twelve".