453546864 has 240 divisors, whose sum is σ = 1403910144. Its totient is φ = 141523200.

The previous prime is 453546839. The next prime is 453546869. The reversal of 453546864 is 468645354.

453546864 is a `hidden beast` number, since 45 + 3 + 546 + 8 + 64 = 666.

Its product of digits (1382400) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453546869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6387949 + ... + 6388019.

Almost surely, 2^453546864 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 453546864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).

453546864 is an abundant number, since it is smaller than the sum of its proper divisors (950363280).

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

453546864 is a wasteful number, since it uses less digits than its factorization.

453546864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 453546864 is about 21296.6397349441. The cubic root of 453546864 is about 768.3174956805.

The spelling of 453546864 in words is "four hundred fifty-three million, five hundred forty-six thousand, eight hundred sixty-four".