252469862400 has 672 divisors, whose sum is σ = 975116160000. Its totient is φ = 56434360320.

The previous prime is 252469862371. The next prime is 252469862431. The reversal of 252469862400 is 4268964252.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252469862400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202136976 + ... + 202138224.

Almost surely, 2^252469862400 is an apocalyptic number.

252469862400 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 252469862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487558080000).

252469862400 is an abundant number, since it is smaller than the sum of its proper divisors (722646297600).

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

252469862400 is a wasteful number, since it uses less digits than its factorization.

252469862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 252469862400 in words is "two hundred fifty-two billion, four hundred sixty-nine million, eight hundred sixty-two thousand, four hundred".