453216524800 has 240 divisors, whose sum is σ = 1210765552920. Its totient is φ = 167132528640.

The previous prime is 453216524759. The next prime is 453216524863. The reversal of 453216524800 is 8425612354.

It can be written as a sum of positive squares in 12 ways, for example, as 10640335104 + 442576189696 = 103152^2 + 665264^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 214488544 + ... + 214490656.

Almost surely, 2^453216524800 is an apocalyptic number.

453216524800 is a gapful number since it is divisible by the number (40) 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 453216524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605382776460).

453216524800 is an abundant number, since it is smaller than the sum of its proper divisors (757549028120).

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

453216524800 is a wasteful number, since it uses less digits than its factorization.

453216524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 453216524800 in words is "four hundred fifty-three billion, two hundred sixteen million, five hundred twenty-four thousand, eight hundred".