450972 has 18 divisors (see below), whose sum is σ = 1140048. Its totient is φ = 150312.

The previous prime is 450971. The next prime is 450991. The reversal of 450972 is 279054.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) 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 (450971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6228 + ... + 6299.

It is an arithmetic number, because the mean of its divisors is an integer number (63336).

2⁴⁵⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

450972 is an abundant number, since it is smaller than the sum of its proper divisors (689076).

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

450972 is a wasteful number, since it uses less digits than its factorization.

450972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 450972 is about 671.5444884741. The cubic root of 450972 is about 76.6860778406.

The spelling of 450972 in words is "four hundred fifty thousand, nine hundred seventy-two".