252427622400 has 504 divisors, whose sum is σ = 938510986140. Its totient is φ = 67304079360.

The previous prime is 252427622393. The next prime is 252427622411. The reversal of 252427622400 is 4226724252.

252427622400 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 27 + 622 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37321419 + ... + 37328181.

Almost surely, 2^252427622400 is an apocalyptic number.

252427622400 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 252427622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469255493070).

252427622400 is an abundant number, since it is smaller than the sum of its proper divisors (686083363740).

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

252427622400 is an frugal number, since it uses more digits than its factorization.

252427622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6813 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 252427622400 in words is "two hundred fifty-two billion, four hundred twenty-seven million, six hundred twenty-two thousand, four hundred".