258505830 has 192 divisors, whose sum is σ = 801964800. Its totient is φ = 59253120.

The previous prime is 258505823. The next prime is 258505847. The reversal of 258505830 is 38505852.

258505830 is a `hidden beast` number, since 25 + 8 + 50 + 583 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507616 + ... + 508124.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^258505830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258505830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

258505830 is an abundant number, since it is smaller than the sum of its proper divisors (543458970).

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

258505830 is a wasteful number, since it uses less digits than its factorization.

258505830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 258505830 is about 16078.1164941668. The cubic root of 258505830 is about 637.0254461386.

The spelling of 258505830 in words is "two hundred fifty-eight million, five hundred five thousand, eight hundred thirty".