258960456 has 128 divisors (see below), whose sum is σ = 769824000. Its totient is φ = 80372736.

The previous prime is 258960451. The next prime is 258960487. The reversal of 258960456 is 654069852.

258960456 is a `hidden beast` number, since 2 + 589 + 60 + 4 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258960451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399925 + ... + 400571.

It is an arithmetic number, because the mean of its divisors is an integer number (6014250).

Almost surely, 2^258960456 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 258960456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384912000).

258960456 is an abundant number, since it is smaller than the sum of its proper divisors (510863544).

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

258960456 is a wasteful number, since it uses less digits than its factorization.

258960456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 258960456 is about 16092.2483202317. The cubic root of 258960456 is about 637.3986662463.

The spelling of 258960456 in words is "two hundred fifty-eight million, nine hundred sixty thousand, four hundred fifty-six".