453972340800 has 420 divisors, whose sum is σ = 1820392768656. Its totient is φ = 110053555200.

The previous prime is 453972340769. The next prime is 453972340813. The reversal of 453972340800 is 8043279354.

453972340800 is a `hidden beast` number, since 4 + 539 + 7 + 2 + 34 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×453972340800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1266379 + ... + 1584821.

Almost surely, 2^453972340800 is an apocalyptic number.

453972340800 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 453972340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910196384328).

453972340800 is an abundant number, since it is smaller than the sum of its proper divisors (1366420427856).

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

453972340800 is a wasteful number, since it uses less digits than its factorization.

453972340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318488 (or 318464 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 453972340800 in words is "four hundred fifty-three billion, nine hundred seventy-two million, three hundred forty thousand, eight hundred".