258650112 has 208 divisors, whose sum is σ = 821983232. Its totient is φ = 70778880.

The previous prime is 258650057. The next prime is 258650113. The reversal of 258650112 is 211056852.

It is a super-2 number, since 2×258650112² = 133799760875225088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258650112.

It is not an unprimeable number, because it can be changed into a prime (258650113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2666448 + ... + 2666544.

Almost surely, 2^258650112 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 258650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410991616).

258650112 is an abundant number, since it is smaller than the sum of its proper divisors (563333120).

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

258650112 is an equidigital number, since it uses as much as digits as its factorization.

258650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 258650112 is about 16082.6027744268. The cubic root of 258650112 is about 637.1439401921.

It can be divided in two parts, 258 and 650112, that added together give a triangular number (650370 = T₁₁₄₀).

The spelling of 258650112 in words is "two hundred fifty-eight million, six hundred fifty thousand, one hundred twelve".