252866592 has 144 divisors (see below), whose sum is σ = 825945120. Its totient is φ = 72576000.

The previous prime is 252866569. The next prime is 252866633. The reversal of 252866592 is 295668252.

252866592 is a `hidden beast` number, since 2 + 52 + 8 + 6 + 6 + 592 = 666.

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

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, 58092 + ... + 62292.

It is an arithmetic number, because the mean of its divisors is an integer number (5735730).

Almost surely, 2^252866592 is an apocalyptic number.

252866592 is a gapful number since it is divisible by the number (22) 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 252866592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412972560).

252866592 is an abundant number, since it is smaller than the sum of its proper divisors (573078528).

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

252866592 is a wasteful number, since it uses less digits than its factorization.

252866592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4236 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 252866592 is about 15901.7795230597. The cubic root of 252866592 is about 632.3591666736.

It can be divided in two parts, 25286 and 6592, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 252866592 in words is "two hundred fifty-two million, eight hundred sixty-six thousand, five hundred ninety-two".