252339404800 has 720 divisors, whose sum is σ = 786357669888. Its totient is φ = 78328627200.

The previous prime is 252339404797. The next prime is 252339404813. The reversal of 252339404800 is 8404933252.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1511014317 + ... + 1511014483.

Almost surely, 2^252339404800 is an apocalyptic number.

252339404800 is a gapful number since it is divisible by the number (20) 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 252339404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393178834944).

252339404800 is an abundant number, since it is smaller than the sum of its proper divisors (534018265088).

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

252339404800 is a wasteful number, since it uses less digits than its factorization.

252339404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 252339404800 in words is "two hundred fifty-two billion, three hundred thirty-nine million, four hundred four thousand, eight hundred".