451953 has 16 divisors (see below), whose sum is σ = 705600. Its totient is φ = 285120.

The previous prime is 451939. The next prime is 451961. The reversal of 451953 is 359154.

It is not a de Polignac number, because 451953 - 2⁴ = 451937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 451953.

It is not an unprimeable number, because it can be changed into a prime (451903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2⁴⁵¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

451953 is a deficient number, since it is larger than the sum of its proper divisors (253647).

451953 is a wasteful number, since it uses less digits than its factorization.

451953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 451953 is about 672.2744975083. The cubic root of 451953 is about 76.7416426795.

The spelling of 451953 in words is "four hundred fifty-one thousand, nine hundred fifty-three".