252273254400 has 1008 divisors, whose sum is σ = 978309665424. Its totient is φ = 61907927040.

The previous prime is 252273254399. The next prime is 252273254419. The reversal of 252273254400 is 4452372252.

252273254400 is a `hidden beast` number, since 2 + 5 + 227 + 3 + 25 + 4 + 400 = 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 71 ways as a sum of consecutive naturals, for example, 2600755152 + ... + 2600755248.

It is an arithmetic number, because the mean of its divisors is an integer number (970545303).

Almost surely, 2^252273254400 is an apocalyptic number.

252273254400 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 252273254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489154832712).

252273254400 is an abundant number, since it is smaller than the sum of its proper divisors (726036411024).

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

252273254400 is a wasteful number, since it uses less digits than its factorization.

252273254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 252273254400 in words is "two hundred fifty-two billion, two hundred seventy-three million, two hundred fifty-four thousand, four hundred".