453564 has 36 divisors (see below), whose sum is σ = 1177176. Its totient is φ = 147168.

The previous prime is 453559. The next prime is 453569. The reversal of 453564 is 465354.

It is an interprime number because it is at equal distance from previous prime (453559) and next prime (453569).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1402 + ... + 1694.

2⁴⁵³⁵⁶⁴ 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 453564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588588).

453564 is an abundant number, since it is smaller than the sum of its proper divisors (723612).

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

453564 is a wasteful number, since it uses less digits than its factorization.

453564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 453564 is about 673.4716029648. The cubic root of 453564 is about 76.8327171801.

The spelling of 453564 in words is "four hundred fifty-three thousand, five hundred sixty-four".