258480500 has 36 divisors (see below), whose sum is σ = 565307652. Its totient is φ = 103248400.

The previous prime is 258480493. The next prime is 258480527. The reversal of 258480500 is 5084852.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

258480500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8271376 + 250209124 = 2876^2 + 15818^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359141 + ... + 359859.

Almost surely, 2^258480500 is an apocalyptic number.

258480500 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 258480500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282653826).

258480500 is an abundant number, since it is smaller than the sum of its proper divisors (306827152).

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

258480500 is an frugal number, since it uses more digits than its factorization.

258480500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 258480500 is about 16077.3287582235. The cubic root of 258480500 is about 637.0046388946.

The spelling of 258480500 in words is "two hundred fifty-eight million, four hundred eighty thousand, five hundred".