258093252 has 144 divisors (see below), whose sum is σ = 719999280. Its totient is φ = 77635584.

The previous prime is 258093233. The next prime is 258093271. The reversal of 258093252 is 252390852.

It is an interprime number because it is at equal distance from previous prime (258093233) and next prime (258093271).

It can be written as a sum of positive squares in 8 ways, for example, as 38638656 + 219454596 = 6216^2 + 14814^2 .

It is a super-2 number, since 2×258093252² = 133224253455871008, which contains 22 as substring.

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

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, 2367774 + ... + 2367882.

It is an arithmetic number, because the mean of its divisors is an integer number (4999995).

Almost surely, 2^258093252 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 258093252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359999640).

258093252 is an abundant number, since it is smaller than the sum of its proper divisors (461906028).

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

258093252 is a wasteful number, since it uses less digits than its factorization.

258093252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 258093252 is about 16065.2809499243. The cubic root of 258093252 is about 636.6863659314.

The spelling of 258093252 in words is "two hundred fifty-eight million, ninety-three thousand, two hundred fifty-two".