453137664 has 144 divisors (see below), whose sum is σ = 1423278080. Its totient is φ = 125245440.

The previous prime is 453137647. The next prime is 453137717. The reversal of 453137664 is 466731354.

It is a super-3 number, since 3×453137664³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165297 + ... + 168015.

Almost surely, 2^453137664 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 453137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711639040).

453137664 is an abundant number, since it is smaller than the sum of its proper divisors (970140416).

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

453137664 is a wasteful number, since it uses less digits than its factorization.

453137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2762 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 453137664 is about 21287.0304176040. The cubic root of 453137664 is about 768.0863618160.

It can be divided in two parts, 4531 and 37664, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 453137664 in words is "four hundred fifty-three million, one hundred thirty-seven thousand, six hundred sixty-four".