252456320440 has 128 divisors (see below), whose sum is σ = 621789696000. Its totient is φ = 91883635200.

The previous prime is 252456320381. The next prime is 252456320443. The reversal of 252456320440 is 44023654252.

It is a self number, because there is not a number n which added to its sum of digits gives 252456320440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252456320443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4179655 + ... + 4239625.

It is an arithmetic number, because the mean of its divisors is an integer number (4857732000).

Almost surely, 2^252456320440 is an apocalyptic number.

252456320440 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 252456320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310894848000).

252456320440 is an abundant number, since it is smaller than the sum of its proper divisors (369333375560).

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

252456320440 is a wasteful number, since it uses less digits than its factorization.

252456320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60221 (or 60217 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 252456320440 its reverse (44023654252), we get a palindrome (296479974692).

The spelling of 252456320440 in words is "two hundred fifty-two billion, four hundred fifty-six million, three hundred twenty thousand, four hundred forty".