252751968 has 288 divisors, whose sum is σ = 891878400. Its totient is φ = 68200704.

The previous prime is 252751949. The next prime is 252751969. The reversal of 252751968 is 869157252.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×252751968³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252751969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3199353 + ... + 3199431.

It is an arithmetic number, because the mean of its divisors is an integer number (3096800).

Almost surely, 2^252751968 is an apocalyptic number.

252751968 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 252751968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445939200).

252751968 is an abundant number, since it is smaller than the sum of its proper divisors (639126432).

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

252751968 is a wasteful number, since it uses less digits than its factorization.

252751968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 252751968 is about 15898.1749896018. The cubic root of 252751968 is about 632.2636031177.

The spelling of 252751968 in words is "two hundred fifty-two million, seven hundred fifty-one thousand, nine hundred sixty-eight".