472944 has 40 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 154048.

The previous prime is 472939. The next prime is 472963. The reversal of 472944 is 449274.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

472944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2749 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁴⁷²⁹⁴⁴ 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 472944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

472944 is an abundant number, since it is smaller than the sum of its proper divisors (776976).

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

472944 is a wasteful number, since it uses less digits than its factorization.

472944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 472944 is about 687.7092408860. The cubic root of 472944 is about 77.9118003703.

The spelling of 472944 in words is "four hundred seventy-two thousand, nine hundred forty-four".