258365952 has 240 divisors, whose sum is σ = 849008160. Its totient is φ = 74981376.

The previous prime is 258365941. The next prime is 258365953. The reversal of 258365952 is 259563852.

258365952 is a `hidden beast` number, since 2 + 58 + 3 + 6 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 258365898 and 258365907.

It is not an unprimeable number, because it can be changed into a prime (258365953) 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, 1138063 + ... + 1138289.

It is an arithmetic number, because the mean of its divisors is an integer number (3537534).

Almost surely, 2^258365952 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 258365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424504080).

258365952 is an abundant number, since it is smaller than the sum of its proper divisors (590642208).

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

258365952 is a wasteful number, since it uses less digits than its factorization.

258365952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 258365952 is about 16073.7659557429. The cubic root of 258365952 is about 636.9105268452.

The spelling of 258365952 in words is "two hundred fifty-eight million, three hundred sixty-five thousand, nine hundred fifty-two".