252653940 has 144 divisors (see below), whose sum is σ = 955543680. Its totient is φ = 52496640.

The previous prime is 252653897. The next prime is 252653941. The reversal of 252653940 is 49356252.

252653940 is a `hidden beast` number, since 2 + 5 + 265 + 394 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252653895 and 252653904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252653941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4746 + ... + 22974.

It is an arithmetic number, because the mean of its divisors is an integer number (6635720).

Almost surely, 2^252653940 is an apocalyptic number.

252653940 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 252653940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477771840).

252653940 is an abundant number, since it is smaller than the sum of its proper divisors (702889740).

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

252653940 is a wasteful number, since it uses less digits than its factorization.

252653940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18262 (or 18257 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 252653940 is about 15895.0916952372. The cubic root of 252653940 is about 632.1818529452.

The spelling of 252653940 in words is "two hundred fifty-two million, six hundred fifty-three thousand, nine hundred forty".