252224510400 has 252 divisors, whose sum is σ = 897397417800. Its totient is φ = 67189954560.

The previous prime is 252224510393. The next prime is 252224510443. The reversal of 252224510400 is 4015422252.

252224510400 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 245 + 10 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14665006 + ... + 14682194.

Almost surely, 2^252224510400 is an apocalyptic number.

252224510400 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 252224510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448698708900).

252224510400 is an abundant number, since it is smaller than the sum of its proper divisors (645172907400).

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

252224510400 is a wasteful number, since it uses less digits than its factorization.

252224510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18236 (or 18218 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 252224510400 its reverse (4015422252), we get a palindrome (256239932652).

The spelling of 252224510400 in words is "two hundred fifty-two billion, two hundred twenty-four million, five hundred ten thousand, four hundred".