252718848 has 216 divisors, whose sum is σ = 803537280. Its totient is φ = 76032000.

The previous prime is 252718813. The next prime is 252718849. The reversal of 252718848 is 848817252.

It is a happy number.

252718848 is a `hidden beast` number, since 2 + 527 + 1 + 88 + 48 = 666.

It is a super-2 number, since 2×252718848² = 127733632268894208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252718849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006723 + ... + 1006973.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2^252718848 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 252718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401768640).

252718848 is an abundant number, since it is smaller than the sum of its proper divisors (550818432).

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

252718848 is a wasteful number, since it uses less digits than its factorization.

252718848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 252718848 is about 15897.1333264837. The cubic root of 252718848 is about 632.2359851524.

The spelling of 252718848 in words is "two hundred fifty-two million, seven hundred eighteen thousand, eight hundred forty-eight".