258538560 has 224 divisors, whose sum is σ = 951951360. Its totient is φ = 58226688.

The previous prime is 258538559. The next prime is 258538571. The reversal of 258538560 is 65835852.

258538560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 530637 + ... + 531123.

Almost surely, 2^258538560 is an apocalyptic number.

258538560 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 258538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475975680).

258538560 is an abundant number, since it is smaller than the sum of its proper divisors (693412800).

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

258538560 is a wasteful number, since it uses less digits than its factorization.

258538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 258538560 is about 16079.1343050551. The cubic root of 258538560 is about 637.0523300751.

The spelling of 258538560 in words is "two hundred fifty-eight million, five hundred thirty-eight thousand, five hundred sixty".