258271904 has 48 divisors (see below), whose sum is σ = 556004736. Its totient is φ = 117120000.

The previous prime is 258271901. The next prime is 258271907. The reversal of 258271904 is 409172852.

258271904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258271901) and next prime (258271907).

It is not an unprimeable number, because it can be changed into a prime (258271901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263864 + ... + 264840.

It is an arithmetic number, because the mean of its divisors is an integer number (11583432).

Almost surely, 2^258271904 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 258271904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278002368).

258271904 is an abundant number, since it is smaller than the sum of its proper divisors (297732832).

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

258271904 is a wasteful number, since it uses less digits than its factorization.

258271904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 258271904 is about 16070.8401771656. The cubic root of 258271904 is about 636.8332366936.

The spelling of 258271904 in words is "two hundred fifty-eight million, two hundred seventy-one thousand, nine hundred four".