252211968 has 90 divisors (see below), whose sum is σ = 752112284. Its totient is φ = 84063744.

The previous prime is 252211963. The next prime is 252211969. The reversal of 252211968 is 869112252.

It is a super-2 number, since 2×252211968² = 127221753604866048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (252211963) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14655 + ... + 26817.

Almost surely, 2^252211968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376056142).

252211968 is an abundant number, since it is smaller than the sum of its proper divisors (499900316).

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

252211968 is an equidigital number, since it uses as much as digits as its factorization.

252211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12191 (or 12168 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 252211968 is about 15881.1828274849. The cubic root of 252211968 is about 631.8130088257.

The spelling of 252211968 in words is "two hundred fifty-two million, two hundred eleven thousand, nine hundred sixty-eight".