252914984 has 64 divisors (see below), whose sum is σ = 578016000. Its totient is φ = 101274624.

The previous prime is 252914953. The next prime is 252915031. The reversal of 252914984 is 489419252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140957 + ... + 142739.

It is an arithmetic number, because the mean of its divisors is an integer number (9031500).

Almost surely, 2^252914984 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 252914984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289008000).

252914984 is an abundant number, since it is smaller than the sum of its proper divisors (325101016).

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

252914984 is a wasteful number, since it uses less digits than its factorization.

252914984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1958 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 252914984 is about 15903.3010409789. The cubic root of 252914984 is about 632.3995030590.

The spelling of 252914984 in words is "two hundred fifty-two million, nine hundred fourteen thousand, nine hundred eighty-four".