258241536 has 132 divisors (see below), whose sum is σ = 852403552. Its totient is φ = 73764864.

The previous prime is 258241523. The next prime is 258241553. The reversal of 258241536 is 635142852.

258241536 is a `hidden beast` number, since 2 + 5 + 82 + 41 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 258241536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62511 + ... + 66513.

Almost surely, 2^258241536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426201776).

258241536 is an abundant number, since it is smaller than the sum of its proper divisors (594162016).

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

258241536 is a wasteful number, since it uses less digits than its factorization.

258241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4015 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 258241536 is about 16069.8953325776. The cubic root of 258241536 is about 636.8082757777.

The spelling of 258241536 in words is "two hundred fifty-eight million, two hundred forty-one thousand, five hundred thirty-six".