252386064 has 120 divisors (see below), whose sum is σ = 842788320. Its totient is φ = 72104256.

The previous prime is 252386059. The next prime is 252386149. The reversal of 252386064 is 460683252.

252386064 is a `hidden beast` number, since 25 + 23 + 8 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15207 + ... + 27129.

It is an arithmetic number, because the mean of its divisors is an integer number (7023236).

Almost surely, 2^252386064 is an apocalyptic number.

252386064 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 252386064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421394160).

252386064 is an abundant number, since it is smaller than the sum of its proper divisors (590402256).

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

252386064 is a wasteful number, since it uses less digits than its factorization.

252386064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11935 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 252386064 is about 15886.6630857459. The cubic root of 252386064 is about 631.9583506175.

The spelling of 252386064 in words is "two hundred fifty-two million, three hundred eighty-six thousand, sixty-four".