258241720 has 64 divisors (see below), whose sum is σ = 637359840. Its totient is φ = 93388800.

The previous prime is 258241693. The next prime is 258241729. The reversal of 258241720 is 27142852.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258241729) 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, 83400 + ... + 86440.

Almost surely, 2^258241720 is an apocalyptic number.

258241720 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 258241720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318679920).

258241720 is an abundant number, since it is smaller than the sum of its proper divisors (379118120).

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

258241720 is a wasteful number, since it uses less digits than its factorization.

258241720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 258241720 is about 16069.9010575672. The cubic root of 258241720 is about 636.8084270221.

The spelling of 258241720 in words is "two hundred fifty-eight million, two hundred forty-one thousand, seven hundred twenty".