258644880 has 320 divisors, whose sum is σ = 981603840. Its totient is φ = 62208000.

The previous prime is 258644863. The next prime is 258644917. The reversal of 258644880 is 88446852.

It is a super-5 number, since 5×258644880⁵ (a number of 43 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1712805 + ... + 1712955.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2^258644880 is an apocalyptic number.

258644880 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 258644880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490801920).

258644880 is an abundant number, since it is smaller than the sum of its proper divisors (722958960).

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

258644880 is a wasteful number, since it uses less digits than its factorization.

258644880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 258644880 is about 16082.4401133659. The cubic root of 258644880 is about 637.1396440930.

The spelling of 258644880 in words is "two hundred fifty-eight million, six hundred forty-four thousand, eight hundred eighty".