258674240 has 112 divisors (see below), whose sum is σ = 687994560. Its totient is φ = 91822080.

The previous prime is 258674239. The next prime is 258674243. The reversal of 258674240 is 42476852.

It is a junction number, because it is equal to n+sod(n) for n = 258674194 and 258674203.

It is not an unprimeable number, because it can be changed into a prime (258674243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150506 + ... + 152214.

Almost surely, 2^258674240 is an apocalyptic number.

258674240 is a gapful number since it is divisible by the number (20) 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 258674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343997280).

258674240 is an abundant number, since it is smaller than the sum of its proper divisors (429320320).

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

258674240 is a wasteful number, since it uses less digits than its factorization.

258674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 258674240 is about 16083.3528842714. The cubic root of 258674240 is about 637.1637514226.

The spelling of 258674240 in words is "two hundred fifty-eight million, six hundred seventy-four thousand, two hundred forty".