451956 has 12 divisors (see below), whose sum is σ = 1054592. Its totient is φ = 150648.

The previous prime is 451939. The next prime is 451961. The reversal of 451956 is 659154.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct 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 451956.

It is an unprimeable number.

451956 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 (11) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18820 + ... + 18843.

2⁴⁵¹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

451956 is an abundant number, since it is smaller than the sum of its proper divisors (602636).

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

451956 is a wasteful number, since it uses less digits than its factorization.

451956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37670 (or 37668 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 451956 is about 672.2767287360. The cubic root of 451956 is about 76.7418124792.

The spelling of 451956 in words is "four hundred fifty-one thousand, nine hundred fifty-six".