258433080 has 64 divisors (see below), whose sum is σ = 777461760. Its totient is φ = 68723328.

The previous prime is 258433057. The next prime is 258433093. The reversal of 258433080 is 80334852.

258433080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43149 + ... + 48771.

It is an arithmetic number, because the mean of its divisors is an integer number (12147840).

Almost surely, 2^258433080 is an apocalyptic number.

258433080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258433080 is an abundant number, since it is smaller than the sum of its proper divisors (519028680).

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

258433080 is a wasteful number, since it uses less digits than its factorization.

258433080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 258433080 is about 16075.8539431036. The cubic root of 258433080 is about 636.9656822391.

The spelling of 258433080 in words is "two hundred fifty-eight million, four hundred thirty-three thousand, eighty".