252321413904 has 480 divisors, whose sum is σ = 932820295680. Its totient is φ = 64277784576.

The previous prime is 252321413899. The next prime is 252321413917. The reversal of 252321413904 is 409314123252.

252321413904 is a `hidden beast` number, since 2 + 5 + 232 + 1 + 413 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8776417 + ... + 8805119.

It is an arithmetic number, because the mean of its divisors is an integer number (1943375616).

Almost surely, 2^252321413904 is an apocalyptic number.

252321413904 is a gapful number since it is divisible by the number (24) 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 252321413904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466410147840).

252321413904 is an abundant number, since it is smaller than the sum of its proper divisors (680498881776).

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

252321413904 is a wasteful number, since it uses less digits than its factorization.

252321413904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28769 (or 28751 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 252321413904 in words is "two hundred fifty-two billion, three hundred twenty-one million, four hundred thirteen thousand, nine hundred four".