252989968 has 160 divisors (see below), whose sum is σ = 647458560. Its totient is φ = 92897280.

The previous prime is 252989953. The next prime is 252989983. The reversal of 252989968 is 869989252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252989953) and next prime (252989983).

It is a Harshad number since it is a multiple of its sum of digits (58).

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, 2608096 + ... + 2608192.

It is an arithmetic number, because the mean of its divisors is an integer number (4046616).

Almost surely, 2^252989968 is an apocalyptic number.

252989968 is a gapful number since it is divisible by the number (28) 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 252989968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323729280).

252989968 is an abundant number, since it is smaller than the sum of its proper divisors (394468592).

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

252989968 is a wasteful number, since it uses less digits than its factorization.

252989968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 58.

The square root of 252989968 is about 15905.6583642426. The cubic root of 252989968 is about 632.4619946231.

The spelling of 252989968 in words is "two hundred fifty-two million, nine hundred eighty-nine thousand, nine hundred sixty-eight".