258967240 has 64 divisors (see below), whose sum is σ = 667440000. Its totient is φ = 88585728.

The previous prime is 258967231. The next prime is 258967243. The reversal of 258967240 is 42769852.

It is not an unprimeable number, because it can be changed into a prime (258967243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172011 + ... + 173509.

It is an arithmetic number, because the mean of its divisors is an integer number (10428750).

Almost surely, 2^258967240 is an apocalyptic number.

258967240 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 258967240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333720000).

258967240 is an abundant number, since it is smaller than the sum of its proper divisors (408472760).

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

258967240 is a wasteful number, since it uses less digits than its factorization.

258967240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 258967240 is about 16092.4591035677. The cubic root of 258967240 is about 637.4042321859.

The spelling of 258967240 in words is "two hundred fifty-eight million, nine hundred sixty-seven thousand, two hundred forty".