451264 has 28 divisors (see below), whose sum is σ = 978408. Its totient is φ = 204800.

The previous prime is 451249. The next prime is 451277. The reversal of 451264 is 462154.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384 + ... + 1024.

2⁴⁵¹²⁶⁴ is an apocalyptic number.

451264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489204).

451264 is an abundant number, since it is smaller than the sum of its proper divisors (527144).

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

451264 is a wasteful number, since it uses less digits than its factorization.

451264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 451264 is about 671.7618625674. The cubic root of 451264 is about 76.7026254338.

The spelling of 451264 in words is "four hundred fifty-one thousand, two hundred sixty-four".