258066560 has 64 divisors (see below), whose sum is σ = 623450520. Its totient is φ = 102137856.

The previous prime is 258066553. The next prime is 258066617. The reversal of 258066560 is 65660852.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 196224064 + 61842496 = 14008^2 + 7864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60002 + ... + 64158.

Almost surely, 2^258066560 is an apocalyptic number.

258066560 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 258066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311725260).

258066560 is an abundant number, since it is smaller than the sum of its proper divisors (365383960).

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

258066560 is an equidigital number, since it uses as much as digits as its factorization.

258066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 258066560 is about 16064.4501928949. The cubic root of 258066560 is about 636.6644164767.

The spelling of 258066560 in words is "two hundred fifty-eight million, sixty-six thousand, five hundred sixty".