252260064 has 144 divisors (see below), whose sum is σ = 826102368. Its totient is φ = 71525376.

The previous prime is 252260039. The next prime is 252260101. The reversal of 252260064 is 460062252.

252260064 is a `hidden beast` number, since 2 + 52 + 2 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 316114 + ... + 316910.

It is an arithmetic number, because the mean of its divisors is an integer number (5736822).

Almost surely, 2^252260064 is an apocalyptic number.

252260064 is a gapful number since it is divisible by the number (24) 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 252260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413051184).

252260064 is an abundant number, since it is smaller than the sum of its proper divisors (573842304).

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

252260064 is a wasteful number, since it uses less digits than its factorization.

252260064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252260064 is about 15882.6970001949. The cubic root of 252260064 is about 631.8531678333.

The spelling of 252260064 in words is "two hundred fifty-two million, two hundred sixty thousand, sixty-four".