451972 has 18 divisors (see below), whose sum is σ = 837438. Its totient is φ = 213408.

The previous prime is 451967. The next prime is 451987. The reversal of 451972 is 279154.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 244036 + 207936 = 494^2 + 456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 451972.

It is a congruent number.

It is an unprimeable number.

451972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1288 + ... + 1600.

2⁴⁵¹⁹⁷² is an apocalyptic number.

It is an amenable number.

451972 is a deficient number, since it is larger than the sum of its proper divisors (385466).

451972 is a wasteful number, since it uses less digits than its factorization.

451972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 451972 is about 672.2886284923. The cubic root of 451972 is about 76.7427180648.

The spelling of 451972 in words is "four hundred fifty-one thousand, nine hundred seventy-two".