252442680 has 256 divisors, whose sum is σ = 919987200. Its totient is φ = 54190080.

The previous prime is 252442679. The next prime is 252442681. The reversal of 252442680 is 86244252.

It is an interprime number because it is at equal distance from previous prime (252442679) and next prime (252442681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252442681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1047360 + ... + 1047600.

It is an arithmetic number, because the mean of its divisors is an integer number (3593700).

Almost surely, 2^252442680 is an apocalyptic number.

252442680 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 252442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459993600).

252442680 is an abundant number, since it is smaller than the sum of its proper divisors (667544520).

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

252442680 is a wasteful number, since it uses less digits than its factorization.

252442680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 252442680 is about 15888.4448578204. Note that the first 3 decimals coincide. The cubic root of 252442680 is about 632.0056013497.

The spelling of 252442680 in words is "two hundred fifty-two million, four hundred forty-two thousand, six hundred eighty".