252963840 has 176 divisors, whose sum is σ = 830066688. Its totient is φ = 65716224.

The previous prime is 252963827. The next prime is 252963847. The reversal of 252963840 is 48369252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252963847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660289 + ... + 660671.

It is an arithmetic number, because the mean of its divisors is an integer number (4716288).

Almost surely, 2^252963840 is an apocalyptic number.

252963840 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 252963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415033344).

252963840 is an abundant number, since it is smaller than the sum of its proper divisors (577102848).

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

252963840 is a wasteful number, since it uses less digits than its factorization.

252963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 252963840 is about 15904.8370001079. The cubic root of 252963840 is about 632.4402209851.

The spelling of 252963840 in words is "two hundred fifty-two million, nine hundred sixty-three thousand, eight hundred forty".