252000460800 has 840 divisors, whose sum is σ = 1019130465672. Its totient is φ = 61046784000.

The previous prime is 252000460799. The next prime is 252000460801. The reversal of 252000460800 is 8064000252.

252000460800 is a `hidden beast` number, since 2 + 52 + 0 + 0 + 0 + 4 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252000460799) and next prime (252000460801).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252000460801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 182476110 + ... + 182477490.

Almost surely, 2^252000460800 is an apocalyptic number.

252000460800 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 252000460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509565232836).

252000460800 is an abundant number, since it is smaller than the sum of its proper divisors (767130004872).

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

252000460800 is a wasteful number, since it uses less digits than its factorization.

252000460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 252000460800 in words is "two hundred fifty-two billion, four hundred sixty thousand, eight hundred".