258931240 has 64 divisors (see below), whose sum is σ = 639964800. Its totient is φ = 93848832.

The previous prime is 258931229. The next prime is 258931243. The reversal of 258931240 is 42139852.

It is a junction number, because it is equal to n+sod(n) for n = 258931196 and 258931205.

It is not an unprimeable number, because it can be changed into a prime (258931243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10074 + ... + 24886.

It is an arithmetic number, because the mean of its divisors is an integer number (9999450).

Almost surely, 2^258931240 is an apocalyptic number.

258931240 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 258931240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319982400).

258931240 is an abundant number, since it is smaller than the sum of its proper divisors (381033560).

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

258931240 is a wasteful number, since it uses less digits than its factorization.

258931240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14866 (or 14862 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 258931240 is about 16091.3405283712. The cubic root of 258931240 is about 637.3746948389.

The spelling of 258931240 in words is "two hundred fifty-eight million, nine hundred thirty-one thousand, two hundred forty".