252247968 has 144 divisors (see below), whose sum is σ = 825080256. Its totient is φ = 71608320.

The previous prime is 252247943. The next prime is 252247973. The reversal of 252247968 is 869742252.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425080 + ... + 425672.

It is an arithmetic number, because the mean of its divisors is an integer number (5729724).

Almost surely, 2^252247968 is an apocalyptic number.

252247968 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 252247968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412540128).

252247968 is an abundant number, since it is smaller than the sum of its proper divisors (572832288).

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

252247968 is a wasteful number, since it uses less digits than its factorization.

252247968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 816 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 252247968 is about 15882.3162038791. The cubic root of 252247968 is about 631.8430684436.

The spelling of 252247968 in words is "two hundred fifty-two million, two hundred forty-seven thousand, nine hundred sixty-eight".