452656512 has 432 divisors, whose sum is σ = 1716467220. Its totient is φ = 117573120.

The previous prime is 452656507. The next prime is 452656541. The reversal of 452656512 is 215656254.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×452656512² = 409795835712012288, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41150587 + ... + 41150597.

Almost surely, 2^452656512 is an apocalyptic number.

452656512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858233610).

452656512 is an abundant number, since it is smaller than the sum of its proper divisors (1263810708).

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

452656512 is an frugal number, since it uses more digits than its factorization.

452656512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 452656512 is about 21275.7258865591. The cubic root of 452656512 is about 767.8144082793.

The spelling of 452656512 in words is "four hundred fifty-two million, six hundred fifty-six thousand, five hundred twelve".