258764880 has 80 divisors (see below), whose sum is σ = 875104704. Its totient is φ = 62730240.

The previous prime is 258764879. The next prime is 258764887. The reversal of 258764880 is 88467852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258764887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46369 + ... + 51648.

Almost surely, 2^258764880 is an apocalyptic number.

258764880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258764880 is an abundant number, since it is smaller than the sum of its proper divisors (616339824).

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

258764880 is a wasteful number, since it uses less digits than its factorization.

258764880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98044 (or 98038 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 258764880 is about 16086.1704578809. The cubic root of 258764880 is about 637.2381639066.

258764880 divided by its sum of digits (48) gives a palindrome (5390935).

The spelling of 258764880 in words is "two hundred fifty-eight million, seven hundred sixty-four thousand, eight hundred eighty".