453514464 has 240 divisors, whose sum is σ = 1474471152. Its totient is φ = 135862272.

The previous prime is 453514427. The next prime is 453514511. The reversal of 453514464 is 464415354.

453514464 is a `hidden beast` number, since 453 + 5 + 144 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1448772 + ... + 1449084.

Almost surely, 2^453514464 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 453514464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737235576).

453514464 is an abundant number, since it is smaller than the sum of its proper divisors (1020956688).

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

453514464 is a wasteful number, since it uses less digits than its factorization.

453514464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 453514464 is about 21295.8790379735. The cubic root of 453514464 is about 768.2991998279.

The spelling of 453514464 in words is "four hundred fifty-three million, five hundred fourteen thousand, four hundred sixty-four".