258577968 has 90 divisors (see below), whose sum is σ = 737736636. Its totient is φ = 77985600.

The previous prime is 258577967. The next prime is 258577993. The reversal of 258577968 is 869775852.

It is a happy number.

258577968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258577961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1225383 + ... + 1225593.

Almost surely, 2^258577968 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 258577968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368868318).

258577968 is an abundant number, since it is smaller than the sum of its proper divisors (479158668).

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

258577968 is a wasteful number, since it uses less digits than its factorization.

258577968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 227 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 57.

The square root of 258577968 is about 16080.3596974695. The cubic root of 258577968 is about 637.0846962113.

The spelling of 258577968 in words is "two hundred fifty-eight million, five hundred seventy-seven thousand, nine hundred sixty-eight".