250890240 has 96 divisors (see below), whose sum is σ = 802751040. Its totient is φ = 66895872.

The previous prime is 250890217. The next prime is 250890247. The reversal of 250890240 is 42098052.

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 a junction number, because it is equal to n+sod(n) for n = 250890198 and 250890207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250890247) 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, 26637 + ... + 34803.

It is an arithmetic number, because the mean of its divisors is an integer number (8361990).

Almost surely, 2^250890240 is an apocalyptic number.

250890240 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 250890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401375520).

250890240 is an abundant number, since it is smaller than the sum of its proper divisors (551860800).

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

250890240 is an equidigital number, since it uses as much as digits as its factorization.

250890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 250890240 is about 15839.5151440945. The cubic root of 250890240 is about 630.7073938679.

The spelling of 250890240 in words is "two hundred fifty million, eight hundred ninety thousand, two hundred forty".