258916560 has 160 divisors (see below), whose sum is σ = 922679040. Its totient is φ = 58834944.

The previous prime is 258916531. The next prime is 258916583. The reversal of 258916560 is 65619852.

258916560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384384 + ... + 385056.

It is an arithmetic number, because the mean of its divisors is an integer number (5766744).

Almost surely, 2^258916560 is an apocalyptic number.

258916560 is a gapful number since it is divisible by the number (20) 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 258916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461339520).

258916560 is an abundant number, since it is smaller than the sum of its proper divisors (663762480).

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

258916560 is a wasteful number, since it uses less digits than its factorization.

258916560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 258916560 is about 16090.8843759440. The cubic root of 258916560 is about 637.3626493793.

The spelling of 258916560 in words is "two hundred fifty-eight million, nine hundred sixteen thousand, five hundred sixty".