258508416 has 32 divisors (see below), whose sum is σ = 686664000. Its totient is φ = 86169344.

The previous prime is 258508391. The next prime is 258508463. The reversal of 258508416 is 614805852.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×258508416² = 133653202285658112, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 336216 + ... + 336983.

It is an arithmetic number, because the mean of its divisors is an integer number (21458250).

Almost surely, 2^258508416 is an apocalyptic number.

It is an amenable number.

258508416 is an abundant number, since it is smaller than the sum of its proper divisors (428155584).

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

258508416 is an equidigital number, since it uses as much as digits as its factorization.

258508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673216 (or 673204 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 258508416 is about 16078.1969138333. The cubic root of 258508416 is about 637.0275703232.

The spelling of 258508416 in words is "two hundred fifty-eight million, five hundred eight thousand, four hundred sixteen".