258164946 has 96 divisors (see below), whose sum is σ = 627419520. Its totient is φ = 76204800.

The previous prime is 258164923. The next prime is 258164957. The reversal of 258164946 is 649461852.

258164946 is a `hidden beast` number, since 2 + 581 + 64 + 9 + 4 + 6 = 666.

258164946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (414720) is a multiple of the sum of its prime factors (512).

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, 680985 + ... + 681363.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2^258164946 is an apocalyptic number.

258164946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 258164946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

258164946 is an abundant number, since it is smaller than the sum of its proper divisors (369254574).

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

258164946 is a wasteful number, since it uses less digits than its factorization.

258164946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

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

The square root of 258164946 is about 16067.5121285157. The cubic root of 258164946 is about 636.7453140906.

The spelling of 258164946 in words is "two hundred fifty-eight million, one hundred sixty-four thousand, nine hundred forty-six".