250258080 has 96 divisors (see below), whose sum is σ = 805158144. Its totient is φ = 65309696.

The previous prime is 250258079. The next prime is 250258087. The reversal of 250258080 is 80852052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (250258087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17014 + ... + 28106.

It is an arithmetic number, because the mean of its divisors is an integer number (8387064).

Almost surely, 2^250258080 is an apocalyptic number.

250258080 is a gapful number since it is divisible by the number (20) 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 250258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402579072).

250258080 is an abundant number, since it is smaller than the sum of its proper divisors (554900064).

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

250258080 is a wasteful number, since it uses less digits than its factorization.

250258080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11158 (or 11150 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 250258080 is about 15819.5474018696. The cubic root of 250258080 is about 630.1772240133.

The spelling of 250258080 in words is "two hundred fifty million, two hundred fifty-eight thousand, eighty".