258745536 has 112 divisors (see below), whose sum is σ = 869370880. Its totient is φ = 73923840.

The previous prime is 258745493. The next prime is 258745549. The reversal of 258745536 is 635547852.

258745536 is a `hidden beast` number, since 25 + 8 + 74 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 258745491 and 258745500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401 + ... + 22791.

It is an arithmetic number, because the mean of its divisors is an integer number (7762240).

Almost surely, 2^258745536 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 258745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434685440).

258745536 is an abundant number, since it is smaller than the sum of its proper divisors (610625344).

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

258745536 is a wasteful number, since it uses less digits than its factorization.

258745536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21419 (or 21403 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 258745536 is about 16085.5691848315. The cubic root of 258745536 is about 637.2222845722. Note that the first 4 decimals are identical.

The spelling of 258745536 in words is "two hundred fifty-eight million, seven hundred forty-five thousand, five hundred thirty-six".