258413670 has 48 divisors (see below), whose sum is σ = 673049520. Its totient is φ = 68789952.

The previous prime is 258413663. The next prime is 258413677. The reversal of 258413670 is 76314852.

258413670 is a `hidden beast` number, since 2 + 584 + 1 + 3 + 6 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (258413663) and next prime (258413677).

It is a super-3 number, since 3×258413670³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258413677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57132 + ... + 61488.

It is an arithmetic number, because the mean of its divisors is an integer number (14021865).

Almost surely, 2^258413670 is an apocalyptic number.

258413670 is an abundant number, since it is smaller than the sum of its proper divisors (414635850).

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

258413670 is a wasteful number, since it uses less digits than its factorization.

258413670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 258413670 is about 16075.2502313339. The cubic root of 258413670 is about 636.9497350889.

The spelling of 258413670 in words is "two hundred fifty-eight million, four hundred thirteen thousand, six hundred seventy".