258129540 has 72 divisors (see below), whose sum is σ = 784824768. Its totient is φ = 68673600.

The previous prime is 258129527. The next prime is 258129541. The reversal of 258129540 is 45921852.

258129540 is a `hidden beast` number, since 2 + 581 + 29 + 54 + 0 = 666.

258129540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258129540² = 133261718841223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 258129495 and 258129504.

It is not an unprimeable number, because it can be changed into a prime (258129541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89115 + ... + 91965.

It is an arithmetic number, because the mean of its divisors is an integer number (10900344).

Almost surely, 2^258129540 is an apocalyptic number.

258129540 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 258129540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392412384).

258129540 is an abundant number, since it is smaller than the sum of its proper divisors (526695228).

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

258129540 is a wasteful number, since it uses less digits than its factorization.

258129540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 258129540 is about 16066.4103022424. The cubic root of 258129540 is about 636.7162039737.

The spelling of 258129540 in words is "two hundred fifty-eight million, one hundred twenty-nine thousand, five hundred forty".