450468564 has 144 divisors (see below), whose sum is σ = 1359945216. Its totient is φ = 114912000.

The previous prime is 450468523. The next prime is 450468581. The reversal of 450468564 is 465864054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236014 + ... + 237914.

It is an arithmetic number, because the mean of its divisors is an integer number (9444064).

Almost surely, 2^450468564 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 450468564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679972608).

450468564 is an abundant number, since it is smaller than the sum of its proper divisors (909476652).

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

450468564 is a wasteful number, since it uses less digits than its factorization.

450468564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 450468564 is about 21224.2447215443. The cubic root of 450468564 is about 766.5753142151.

The spelling of 450468564 in words is "four hundred fifty million, four hundred sixty-eight thousand, five hundred sixty-four".