258505500 has 96 divisors (see below), whose sum is σ = 821253888. Its totient is φ = 62664000.

The previous prime is 258505493. The next prime is 258505523. The reversal of 258505500 is 5505852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8667 + ... + 24333.

It is an arithmetic number, because the mean of its divisors is an integer number (8554728).

Almost surely, 2^258505500 is an apocalyptic number.

258505500 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 258505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410626944).

258505500 is an abundant number, since it is smaller than the sum of its proper divisors (562748388).

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

258505500 is a wasteful number, since it uses less digits than its factorization.

258505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15700 (or 15688 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 258505500 is about 16078.1062317675. The cubic root of 258505500 is about 637.0251750699.

The spelling of 258505500 in words is "two hundred fifty-eight million, five hundred five thousand, five hundred".