258135400 has 48 divisors (see below), whose sum is σ = 604609740. Its totient is φ = 102489600.

The previous prime is 258135391. The next prime is 258135401. The reversal of 258135400 is 4531852.

It can be written as a sum of positive squares in 6 ways, for example, as 81830116 + 176305284 = 9046^2 + 13278^2 .

It is not an unprimeable number, because it can be changed into a prime (258135401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22690 + ... + 32110.

Almost surely, 2^258135400 is an apocalyptic number.

258135400 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 258135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302304870).

258135400 is an abundant number, since it is smaller than the sum of its proper divisors (346474340).

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

258135400 is a wasteful number, since it uses less digits than its factorization.

258135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9565 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 258135400 is about 16066.5926692625. The cubic root of 258135400 is about 636.7210221342.

It can be divided in two parts, 25813 and 5400, that added together give a palindrome (31213).

The spelling of 258135400 in words is "two hundred fifty-eight million, one hundred thirty-five thousand, four hundred".