258991560 has 64 divisors (see below), whose sum is σ = 863308800. Its totient is φ = 69064128.

The previous prime is 258991559. The next prime is 258991561. The reversal of 258991560 is 65199852.

258991560 is a `hidden beast` number, since 2 + 5 + 89 + 9 + 1 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (258991559) and next prime (258991561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (258991561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118824 + ... + 120983.

It is an arithmetic number, because the mean of its divisors is an integer number (13489200).

Almost surely, 2^258991560 is an apocalyptic number.

258991560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258991560 is an abundant number, since it is smaller than the sum of its proper divisors (604317240).

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

258991560 is a wasteful number, since it uses less digits than its factorization.

258991560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239827 (or 239817 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 258991560 is about 16093.2147192536. The cubic root of 258991560 is about 637.4241847556.

It can be divided in two parts, 2589 and 91560, that added together give a palindrome (94149).

The spelling of 258991560 in words is "two hundred fifty-eight million, nine hundred ninety-one thousand, five hundred sixty".