258465960 has 192 divisors, whose sum is σ = 898419600. Its totient is φ = 64217088.

The previous prime is 258465929. The next prime is 258465983. The reversal of 258465960 is 69564852.

258465960 is a `hidden beast` number, since 2 + 58 + 4 + 6 + 596 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57790404 + 200675556 = 7602^2 + 14166^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960706 + ... + 960974.

Almost surely, 2^258465960 is an apocalyptic number.

258465960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258465960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449209800).

258465960 is an abundant number, since it is smaller than the sum of its proper divisors (639953640).

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

258465960 is a wasteful number, since it uses less digits than its factorization.

258465960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 453 counting only the distinct ones).

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

The square root of 258465960 is about 16076.8765623177. The cubic root of 258465960 is about 636.9926944460.

The spelling of 258465960 in words is "two hundred fifty-eight million, four hundred sixty-five thousand, nine hundred sixty".