258239952 has 120 divisors (see below), whose sum is σ = 762463104. Its totient is φ = 81430272.

The previous prime is 258239941. The next prime is 258239959. The reversal of 258239952 is 259932852.

258239952 is a `hidden beast` number, since 258 + 2 + 399 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 258239898 and 258239907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258239959) 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, 340758 + ... + 341514.

Almost surely, 2^258239952 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 258239952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381231552).

258239952 is an abundant number, since it is smaller than the sum of its proper divisors (504223152).

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

258239952 is a wasteful number, since it uses less digits than its factorization.

258239952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 258239952 is about 16069.8460478002. The cubic root of 258239952 is about 636.8069737585.

The spelling of 258239952 in words is "two hundred fifty-eight million, two hundred thirty-nine thousand, nine hundred fifty-two".