259752 has 32 divisors (see below), whose sum is σ = 662400. Its totient is φ = 84864.

The previous prime is 259751. The next prime is 259771. The reversal of 259752 is 257952.

It is a happy number.

It is a super-2 number, since 2×259752² = 134942203008, which contains 22 as substring.

Its product of digits (6300) is a multiple of the sum of its prime factors (225).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259752.

It is not an unprimeable number, because it can be changed into a prime (259751) 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, 1828 + ... + 1964.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2²⁵⁹⁷⁵² is an apocalyptic number.

It is an amenable number.

259752 is an abundant number, since it is smaller than the sum of its proper divisors (402648).

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

259752 is a wasteful number, since it uses less digits than its factorization.

259752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 259752 is about 509.6587093340. The cubic root of 259752 is about 63.8047434424.

The spelling of 259752 in words is "two hundred fifty-nine thousand, seven hundred fifty-two".