462972 has 24 divisors (see below), whose sum is σ = 1107792. Its totient is φ = 150400.

The previous prime is 462953. The next prime is 462983. The reversal of 462972 is 279264.

It is a happy number.

462972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 462972.

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, 22 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (46158).

2⁴⁶²⁹⁷² is an apocalyptic number.

It is an amenable number.

462972 is an abundant number, since it is smaller than the sum of its proper divisors (644820).

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

462972 is a wasteful number, since it uses less digits than its factorization.

462972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 987 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 462972 is about 680.4204582462. The cubic root of 462972 is about 77.3603172448.

The spelling of 462972 in words is "four hundred sixty-two thousand, nine hundred seventy-two".