258134040 has 96 divisors (see below), whose sum is σ = 870040080. Its totient is φ = 68833152.

The previous prime is 258134039. The next prime is 258134053. The reversal of 258134040 is 40431852.

258134040 is a `hidden beast` number, since 2 + 581 + 3 + 40 + 40 = 666.

It is a super-3 number, since 3×258134040³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 258133995 and 258134013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3559 + ... + 22998.

Almost surely, 2^258134040 is an apocalyptic number.

258134040 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 258134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435020040).

258134040 is an abundant number, since it is smaller than the sum of its proper divisors (611906040).

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

258134040 is a wasteful number, since it uses less digits than its factorization.

258134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26583 (or 26567 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 258134040 is about 16066.5503453604. The cubic root of 258134040 is about 636.7199039328.

Adding to 258134040 its reverse (40431852), we get a palindrome (298565892).

The spelling of 258134040 in words is "two hundred fifty-eight million, one hundred thirty-four thousand, forty".