252592704 has 336 divisors, whose sum is σ = 917163520. Its totient is φ = 64696320.

The previous prime is 252592687. The next prime is 252592721. The reversal of 252592704 is 407295252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252592687) and next prime (252592721).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×252592704² = 127606148228063232, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3197337 + ... + 3197415.

Almost surely, 2^252592704 is an apocalyptic number.

252592704 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 252592704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458581760).

252592704 is an abundant number, since it is smaller than the sum of its proper divisors (664570816).

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

252592704 is a wasteful number, since it uses less digits than its factorization.

252592704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 252592704 is about 15893.1653234968. The cubic root of 252592704 is about 632.1307746258.

The spelling of 252592704 in words is "two hundred fifty-two million, five hundred ninety-two thousand, seven hundred four".