258411540 has 48 divisors (see below), whose sum is σ = 727372800. Its totient is φ = 68545920.

The previous prime is 258411539. The next prime is 258411541. The reversal of 258411540 is 45114852.

It is an interprime number because it is at equal distance from previous prime (258411539) and next prime (258411541).

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 = 258411498 and 258411507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258411541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186 + ... + 22734.

It is an arithmetic number, because the mean of its divisors is an integer number (15153600).

Almost surely, 2^258411540 is an apocalyptic number.

258411540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258411540 is an abundant number, since it is smaller than the sum of its proper divisors (468961260).

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

258411540 is a wasteful number, since it uses less digits than its factorization.

258411540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22752 (or 22750 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 258411540 is about 16075.1839802846. The cubic root of 258411540 is about 636.9479850439.

The spelling of 258411540 in words is "two hundred fifty-eight million, four hundred eleven thousand, five hundred forty".