451164 has 48 divisors (see below), whose sum is σ = 1241856. Its totient is φ = 124800.

The previous prime is 451159. The next prime is 451177. The reversal of 451164 is 461154.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 451164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3379 + ... + 3509.

It is an arithmetic number, because the mean of its divisors is an integer number (25872).

2⁴⁵¹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620928).

451164 is an abundant number, since it is smaller than the sum of its proper divisors (790692).

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

451164 is a wasteful number, since it uses less digits than its factorization.

451164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 451164 is about 671.6874273053. The cubic root of 451164 is about 76.6969592537.

The spelling of 451164 in words is "four hundred fifty-one thousand, one hundred sixty-four".