258228096 has 128 divisors (see below), whose sum is σ = 830165760. Its totient is φ = 69427200.

The previous prime is 258228059. The next prime is 258228097. The reversal of 258228096 is 690822852.

258228096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258228097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42871 + ... + 48521.

It is an arithmetic number, because the mean of its divisors is an integer number (6485670).

Almost surely, 2^258228096 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 258228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415082880).

258228096 is an abundant number, since it is smaller than the sum of its proper divisors (571937664).

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

258228096 is a wasteful number, since it uses less digits than its factorization.

258228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 258228096 is about 16069.4771539089. The cubic root of 258228096 is about 636.7972281724.

The spelling of 258228096 in words is "two hundred fifty-eight million, two hundred twenty-eight thousand, ninety-six".