258707840 has 128 divisors (see below), whose sum is σ = 654350400. Its totient is φ = 97656832.

The previous prime is 258707831. The next prime is 258707843. The reversal of 258707840 is 48707852.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258707843) 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, 983549 + ... + 983811.

Almost surely, 2^258707840 is an apocalyptic number.

258707840 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 258707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327175200).

258707840 is an abundant number, since it is smaller than the sum of its proper divisors (395642560).

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

258707840 is a wasteful number, since it uses less digits than its factorization.

258707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The square root of 258707840 is about 16084.3974086691. The cubic root of 258707840 is about 637.1913379541.

The spelling of 258707840 in words is "two hundred fifty-eight million, seven hundred seven thousand, eight hundred forty".