252268940 has 48 divisors (see below), whose sum is σ = 660489984. Its totient is φ = 78628800.

The previous prime is 252268937. The next prime is 252268943. The reversal of 252268940 is 49862252.

It is an interprime number because it is at equal distance from previous prime (252268937) and next prime (252268943).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 252268894 and 252268903.

It is not an unprimeable number, because it can be changed into a prime (252268943) 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, 80366 + ... + 83445.

It is an arithmetic number, because the mean of its divisors is an integer number (13760208).

Almost surely, 2^252268940 is an apocalyptic number.

252268940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252268940 is an abundant number, since it is smaller than the sum of its proper divisors (408221044).

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

252268940 is a wasteful number, since it uses less digits than its factorization.

252268940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163838 (or 163836 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 252268940 is about 15882.9764213135. The cubic root of 252268940 is about 631.8605785227.

The spelling of 252268940 in words is "two hundred fifty-two million, two hundred sixty-eight thousand, nine hundred forty".