258720 has 144 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 53760.

The previous prime is 258707. The next prime is 258721. The reversal of 258720 is 27852.

258720 = T₅₆ + T₅₇ + ... + T₁₁₉.

258720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258720.

It is not an unprimeable number, because it can be changed into a prime (258721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23515 + ... + 23525.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

258720 is a Friedman number, since it can be written as 5280*7^2, using all its digits and the basic arithmetic operations.

2²⁵⁸⁷²⁰ is an apocalyptic number.

258720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

258720 is the 294-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

258720 is an abundant number, since it is smaller than the sum of its proper divisors (775488).

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

258720 is a wasteful number, since it uses less digits than its factorization.

258720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 258720 is about 508.6452594884. The cubic root of 258720 is about 63.7201321063.

258720 divided by its product of nonzero digits (1120) gives a triangular number (231 = T₂₁).

The spelling of 258720 in words is "two hundred fifty-eight thousand, seven hundred twenty".