258779052 has 72 divisors (see below), whose sum is σ = 750862112. Its totient is φ = 73612800.

The previous prime is 258779033. The next prime is 258779063. The reversal of 258779052 is 250977852.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 258778989 and 258779007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58602 + ... + 62862.

Almost surely, 2^258779052 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 258779052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375431056).

258779052 is an abundant number, since it is smaller than the sum of its proper divisors (492083060).

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

258779052 is a wasteful number, since it uses less digits than its factorization.

258779052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 258779052 is about 16086.6109544553. The cubic root of 258779052 is about 637.2497970855.

The spelling of 258779052 in words is "two hundred fifty-eight million, seven hundred seventy-nine thousand, fifty-two".