474972 has 12 divisors (see below), whose sum is σ = 1108296. Its totient is φ = 158320.

The previous prime is 474959. The next prime is 474977. The reversal of 474972 is 279474.

474972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474977) by changing a digit.

474972 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19779 + ... + 19802.

It is an arithmetic number, because the mean of its divisors is an integer number (92358).

2⁴⁷⁴⁹⁷² is an apocalyptic number.

It is an amenable number.

474972 is an abundant number, since it is smaller than the sum of its proper divisors (633324).

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

474972 is a wasteful number, since it uses less digits than its factorization.

474972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39588 (or 39586 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 474972 is about 689.1821239701. The cubic root of 474972 is about 78.0230043915.

The spelling of 474972 in words is "four hundred seventy-four thousand, nine hundred seventy-two".