252992064 has 56 divisors (see below), whose sum is σ = 720872320. Its totient is φ = 77842944.

The previous prime is 252992063. The next prime is 252992081. The reversal of 252992064 is 460299252.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (252992063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48184 + ... + 53175.

It is an arithmetic number, because the mean of its divisors is an integer number (12872720).

Almost surely, 2^252992064 is an apocalyptic number.

252992064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252992064 is an abundant number, since it is smaller than the sum of its proper divisors (467880256).

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

252992064 is a wasteful number, since it uses less digits than its factorization.

252992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101387 (or 101377 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 252992064 is about 15905.7242526079. The cubic root of 252992064 is about 632.4637412492.

The spelling of 252992064 in words is "two hundred fifty-two million, nine hundred ninety-two thousand, sixty-four".