258096384 has 216 divisors, whose sum is σ = 916627712. Its totient is φ = 68014080.

The previous prime is 258096337. The next prime is 258096389. The reversal of 258096384 is 483690852.

258096384 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 9 + 638 + 4 = 666.

It is a super-2 number, since 2×258096384² = 133227486867750912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258096389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209049 + ... + 210279.

Almost surely, 2^258096384 is an apocalyptic number.

258096384 is a gapful number since it is divisible by the number (24) 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 258096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458313856).

258096384 is an abundant number, since it is smaller than the sum of its proper divisors (658531328).

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

258096384 is a wasteful number, since it uses less digits than its factorization.

258096384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 258096384 is about 16065.3784269154. The cubic root of 258096384 is about 636.6889413488.

The spelling of 258096384 in words is "two hundred fifty-eight million, ninety-six thousand, three hundred eighty-four".