252875040 has 192 divisors, whose sum is σ = 888330240. Its totient is φ = 59939840.

The previous prime is 252874987. The next prime is 252875053. The reversal of 252875040 is 40578252.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 252874992 and 252875010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247651 + ... + 248669.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^252875040 is an apocalyptic number.

252875040 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 252875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444165120).

252875040 is an abundant number, since it is smaller than the sum of its proper divisors (635455200).

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

252875040 is a wasteful number, since it uses less digits than its factorization.

252875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 252875040 is about 15902.0451514892. The cubic root of 252875040 is about 632.3662087410.

The spelling of 252875040 in words is "two hundred fifty-two million, eight hundred seventy-five thousand, forty".