258404960 has 96 divisors (see below), whose sum is σ = 682413984. Its totient is φ = 91648000.

The previous prime is 258404917. The next prime is 258404963. The reversal of 258404960 is 69404852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258404963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70370 + ... + 73950.

It is an arithmetic number, because the mean of its divisors is an integer number (7108479).

Almost surely, 2^258404960 is an apocalyptic number.

258404960 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 258404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341206992).

258404960 is an abundant number, since it is smaller than the sum of its proper divisors (424009024).

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

258404960 is a wasteful number, since it uses less digits than its factorization.

258404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 258404960 is about 16074.9793156943. The cubic root of 258404960 is about 636.9425787408.

The spelling of 258404960 in words is "two hundred fifty-eight million, four hundred four thousand, nine hundred sixty".