450564 has 12 divisors (see below), whose sum is σ = 1051344. Its totient is φ = 150184.

The previous prime is 450563. The next prime is 450581. The reversal of 450564 is 465054.

450564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (450563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18762 + ... + 18785.

It is an arithmetic number, because the mean of its divisors is an integer number (87612).

2⁴⁵⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

450564 is an abundant number, since it is smaller than the sum of its proper divisors (600780).

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

450564 is a wasteful number, since it uses less digits than its factorization.

450564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37554 (or 37552 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 450564 is about 671.2406423929. The cubic root of 450564 is about 76.6629445788.

The spelling of 450564 in words is "four hundred fifty thousand, five hundred sixty-four".