453264 has 80 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 120960.

The previous prime is 453247. The next prime is 453269. The reversal of 453264 is 462354.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4⁵ + 5⁵ + 2¹¹ + 3¹¹ + 6⁵ + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6349 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2⁴⁵³²⁶⁴ 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 453264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

453264 is an abundant number, since it is smaller than the sum of its proper divisors (975216).

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

453264 is a wasteful number, since it uses less digits than its factorization.

453264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 453264 is about 673.2488395831. The cubic root of 453264 is about 76.8157736698.

It can be divided in two parts, 453 and 264, that added together give a palindrome (717).

The spelling of 453264 in words is "four hundred fifty-three thousand, two hundred sixty-four".