258960880 has 40 divisors (see below), whose sum is σ = 633776400. Its totient is φ = 98131968.

The previous prime is 258960839. The next prime is 258960893. The reversal of 258960880 is 88069852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 258960880.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 83665 + ... + 86704.

It is an arithmetic number, because the mean of its divisors is an integer number (15844410).

Almost surely, 2^258960880 is an apocalyptic number.

258960880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258960880 is an abundant number, since it is smaller than the sum of its proper divisors (374815520).

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

258960880 is a wasteful number, since it uses less digits than its factorization.

258960880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170401 (or 170395 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 258960880 is about 16092.2614942711. The cubic root of 258960880 is about 637.3990141204.

The spelling of 258960880 in words is "two hundred fifty-eight million, nine hundred sixty thousand, eight hundred eighty".