258393330 has 96 divisors (see below), whose sum is σ = 727075440. Its totient is φ = 63290880.

The previous prime is 258393313. The next prime is 258393389. The reversal of 258393330 is 33393852.

It can be written as a sum of positive squares in 8 ways, for example, as 4915089 + 253478241 = 2217^2 + 15921^2 .

It is a super-2 number, since 2×258393330² = 133534225976977800, which contains 22 as substring.

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, 314320 + ... + 315140.

Almost surely, 2^258393330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258393330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363537720).

258393330 is an abundant number, since it is smaller than the sum of its proper divisors (468682110).

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

258393330 is a wasteful number, since it uses less digits than its factorization.

258393330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 258393330 is about 16074.6175693234. The cubic root of 258393330 is about 636.9330229989.

The spelling of 258393330 in words is "two hundred fifty-eight million, three hundred ninety-three thousand, three hundred thirty".