532397004800 has 288 divisors, whose sum is σ = 1363547727360. Its totient is φ = 206025523200.

The previous prime is 532397004793. The next prime is 532397004823. The reversal of 532397004800 is 8400793235.

It is a super-2 number, since 2×532397004800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266597402 + ... + 266599398.

It is an arithmetic number, because the mean of its divisors is an integer number (4734540720).

Almost surely, 2^532397004800 is an apocalyptic number.

532397004800 is a gapful number since it is divisible by the number (50) 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 532397004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681773863680).

532397004800 is an abundant number, since it is smaller than the sum of its proper divisors (831150722560).

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

532397004800 is a wasteful number, since it uses less digits than its factorization.

532397004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 532397004800 in words is "five hundred thirty-two billion, three hundred ninety-seven million, four thousand, eight hundred".