252254640 has 320 divisors, whose sum is σ = 925655040. Its totient is φ = 56171520.

The previous prime is 252254633. The next prime is 252254689. The reversal of 252254640 is 46452252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252254598 and 252254607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2357467 + ... + 2357573.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^252254640 is an apocalyptic number.

252254640 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 252254640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462827520).

252254640 is an abundant number, since it is smaller than the sum of its proper divisors (673400400).

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

252254640 is a wasteful number, since it uses less digits than its factorization.

252254640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 252254640 is about 15882.5262474205. The cubic root of 252254640 is about 631.8486391787.

The spelling of 252254640 in words is "two hundred fifty-two million, two hundred fifty-four thousand, six hundred forty".