472264 has 32 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 205632.

The previous prime is 472261. The next prime is 472273. The reversal of 472264 is 462274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1857 + ... + 2095.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁴⁷²²⁶⁴ 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 472264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

472264 is an abundant number, since it is smaller than the sum of its proper divisors (535736).

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

472264 is a wasteful number, since it uses less digits than its factorization.

472264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 2688, while the sum is 25.

The square root of 472264 is about 687.2146680623. The cubic root of 472264 is about 77.8744418697.

The spelling of 472264 in words is "four hundred seventy-two thousand, two hundred sixty-four".