452972838240 has 576 divisors, whose sum is σ = 1722643034112. Its totient is φ = 107636428800.

The previous prime is 452972838211. The next prime is 452972838257. The reversal of 452972838240 is 42838279254.

452972838240 is a `hidden beast` number, since 4 + 529 + 72 + 8 + 3 + 8 + 2 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331362037 + ... + 331363403.

It is an arithmetic number, because the mean of its divisors is an integer number (2990699712).

Almost surely, 2^452972838240 is an apocalyptic number.

452972838240 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 452972838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861321517056).

452972838240 is an abundant number, since it is smaller than the sum of its proper divisors (1269670195872).

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

452972838240 is a wasteful number, since it uses less digits than its factorization.

452972838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 452972838240 in words is "four hundred fifty-two billion, nine hundred seventy-two million, eight hundred thirty-eight thousand, two hundred forty".