451952 has 20 divisors (see below), whose sum is σ = 895776. Its totient is φ = 220800.

The previous prime is 451939. The next prime is 451961. The reversal of 451952 is 259154.

It is a super-2 number, since 2×451952² = 408521220608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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 451952.

It is an unprimeable number.

451952 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 3 ways as a sum of consecutive naturals, for example, 452 + ... + 1052.

2⁴⁵¹⁹⁵² is an apocalyptic number.

It is an amenable number.

451952 is a deficient number, since it is larger than the sum of its proper divisors (443824).

451952 is a wasteful number, since it uses less digits than its factorization.

451952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its digits is 1800, while the sum is 26.

The square root of 451952 is about 672.2737537640. The cubic root of 451952 is about 76.7415860794.

The spelling of 451952 in words is "four hundred fifty-one thousand, nine hundred fifty-two".