450864 has 60 divisors (see below), whose sum is σ = 1315392. Its totient is φ = 144000.

The previous prime is 450859. The next prime is 450881. The reversal of 450864 is 468054.

450864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4414 + ... + 4514.

2⁴⁵⁰⁸⁶⁴ 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 450864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657696).

450864 is an abundant number, since it is smaller than the sum of its proper divisors (864528).

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

450864 is a wasteful number, since it uses less digits than its factorization.

450864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 450864 is about 671.4640720098. The cubic root of 450864 is about 76.6799556884.

The spelling of 450864 in words is "four hundred fifty thousand, eight hundred sixty-four".