258123540 has 48 divisors (see below), whose sum is σ = 727207488. Its totient is φ = 68408064.

The previous prime is 258123521. The next prime is 258123583. The reversal of 258123540 is 45321852.

258123540 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 258123498 and 258123507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3417 + ... + 22976.

It is an arithmetic number, because the mean of its divisors is an integer number (15150156).

Almost surely, 2^258123540 is an apocalyptic number.

258123540 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 258123540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363603744).

258123540 is an abundant number, since it is smaller than the sum of its proper divisors (469083948).

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

258123540 is a wasteful number, since it uses less digits than its factorization.

258123540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26568 (or 26566 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 258123540 is about 16066.2235761862. The cubic root of 258123540 is about 636.7112706279.

The spelling of 258123540 in words is "two hundred fifty-eight million, one hundred twenty-three thousand, five hundred forty".