258370560 has 440 divisors, whose sum is σ = 1070007840. Its totient is φ = 58392576.

The previous prime is 258370537. The next prime is 258370571. The reversal of 258370560 is 65073852.

258370560 is a `hidden beast` number, since 2 + 583 + 70 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902996 + ... + 2903084.

It is an arithmetic number, because the mean of its divisors is an integer number (2431836).

Almost surely, 2^258370560 is an apocalyptic number.

258370560 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 258370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535003920).

258370560 is an abundant number, since it is smaller than the sum of its proper divisors (811637280).

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

258370560 is an equidigital number, since it uses as much as digits as its factorization.

258370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 258370560 is about 16073.9092942570. The cubic root of 258370560 is about 636.9143132913.

The spelling of 258370560 in words is "two hundred fifty-eight million, three hundred seventy thousand, five hundred sixty".