258742512 has 140 divisors (see below), whose sum is σ = 859272880. Its totient is φ = 73903104.

The previous prime is 258742493. The next prime is 258742529. The reversal of 258742512 is 215247852.

It is a happy number.

258742512 is a `hidden beast` number, since 25 + 87 + 42 + 512 = 666.

258742512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 80064 + ... + 83232.

Almost surely, 2^258742512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258742512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429636440).

258742512 is an abundant number, since it is smaller than the sum of its proper divisors (600530368).

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

258742512 is an equidigital number, since it uses as much as digits as its factorization.

258742512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3181 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 258742512 is about 16085.4751872613. The cubic root of 258742512 is about 637.2198021233.

The spelling of 258742512 in words is "two hundred fifty-eight million, seven hundred forty-two thousand, five hundred twelve".