258376464 has 60 divisors (see below), whose sum is σ = 724606896. Its totient is φ = 85945536.

The previous prime is 258376451. The next prime is 258376477. The reversal of 258376464 is 464673852.

258376464 is a `hidden beast` number, since 2 + 583 + 7 + 6 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (258376451) and next prime (258376477).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79479 + ... + 82665.

Almost surely, 2^258376464 is an apocalyptic number.

258376464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

258376464 is an abundant number, since it is smaller than the sum of its proper divisors (466230432).

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

258376464 is a wasteful number, since it uses less digits than its factorization.

258376464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3755 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 258376464 is about 16074.0929448601. The cubic root of 258376464 is about 636.9191646096.

It can be divided in two parts, 258376 and 464, that added together give a triangular number (258840 = T₇₁₉).

The spelling of 258376464 in words is "two hundred fifty-eight million, three hundred seventy-six thousand, four hundred sixty-four".