472352 has 24 divisors (see below), whose sum is σ = 963900. Its totient is φ = 227584.

The previous prime is 472349. The next prime is 472369. The reversal of 472352 is 253274.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 15376 = 676^2 + 124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 674 + ... + 1182.

2⁴⁷²³⁵² 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 472352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481950).

472352 is an abundant number, since it is smaller than the sum of its proper divisors (491548).

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

472352 is a wasteful number, since it uses less digits than its factorization.

472352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its digits is 1680, while the sum is 23.

The square root of 472352 is about 687.2786916528. The cubic root of 472352 is about 77.8792785185.

The spelling of 472352 in words is "four hundred seventy-two thousand, three hundred fifty-two".