258256208 has 80 divisors (see below), whose sum is σ = 606568320. Its totient is φ = 104053248.

The previous prime is 258256199. The next prime is 258256217. The reversal of 258256208 is 802652852.

It is a happy number.

258256208 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 (258256199) and next prime (258256217).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 333710 + ... + 334482.

It is an arithmetic number, because the mean of its divisors is an integer number (7582104).

Almost surely, 2^258256208 is an apocalyptic number.

258256208 is a gapful number since it is divisible by the number (28) 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 258256208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303284160).

258256208 is an abundant number, since it is smaller than the sum of its proper divisors (348312112).

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

258256208 is a wasteful number, since it uses less digits than its factorization.

258256208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 258256208 is about 16070.3518318673. The cubic root of 258256208 is about 636.8203356426.

The spelling of 258256208 in words is "two hundred fifty-eight million, two hundred fifty-six thousand, two hundred eight".