258150564 has 84 divisors (see below), whose sum is σ = 774158784. Its totient is φ = 73751472.

The previous prime is 258150553. The next prime is 258150569. The reversal of 258150564 is 465051852.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (258150569) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14089 + ... + 26735.

It is an arithmetic number, because the mean of its divisors is an integer number (9216176).

Almost surely, 2^258150564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258150564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387079392).

258150564 is an abundant number, since it is smaller than the sum of its proper divisors (516008220).

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

258150564 is a wasteful number, since it uses less digits than its factorization.

258150564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12676 (or 12659 counting only the distinct ones).

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

The square root of 258150564 is about 16067.0645732193. The cubic root of 258150564 is about 636.7334898140.

The spelling of 258150564 in words is "two hundred fifty-eight million, one hundred fifty thousand, five hundred sixty-four".