259258840 has 64 divisors (see below), whose sum is σ = 638992800. Its totient is φ = 94230528.

The previous prime is 259258837. The next prime is 259258841. The reversal of 259258840 is 48852952.

It is a super-2 number, since 2×259258840² = 134430292236291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259258841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13147 + ... + 26293.

Almost surely, 2^259258840 is an apocalyptic number.

259258840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

259258840 is the 13147-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259258840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319496400).

259258840 is an abundant number, since it is smaller than the sum of its proper divisors (379733960).

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

259258840 is a wasteful number, since it uses less digits than its factorization.

259258840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 259258840 is about 16101.5166987461. The cubic root of 259258840 is about 637.6433838703.

The spelling of 259258840 in words is "two hundred fifty-nine million, two hundred fifty-eight thousand, eight hundred forty".