258250944 has 224 divisors, whose sum is σ = 842711040. Its totient is φ = 68124672.

The previous prime is 258250943. The next prime is 258251011. The reversal of 258250944 is 449052852.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×258250944² = 133387100153782272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258250943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033409 + ... + 2033535.

Almost surely, 2^258250944 is an apocalyptic number.

258250944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421355520).

258250944 is an abundant number, since it is smaller than the sum of its proper divisors (584460096).

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

258250944 is a wasteful number, since it uses less digits than its factorization.

258250944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 258250944 is about 16070.1880511710. The cubic root of 258250944 is about 636.8160088734.

The spelling of 258250944 in words is "two hundred fifty-eight million, two hundred fifty thousand, nine hundred forty-four".