250590240 has 384 divisors, whose sum is σ = 958003200. Its totient is φ = 60963840.

The previous prime is 250590211. The next prime is 250590271. The reversal of 250590240 is 42095052.

250590240 is a `hidden beast` number, since 2 + 50 + 590 + 24 + 0 = 666.

250590240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3529405 + ... + 3529475.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^250590240 is an apocalyptic number.

250590240 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 250590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479001600).

250590240 is an abundant number, since it is smaller than the sum of its proper divisors (707412960).

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

250590240 is a wasteful number, since it uses less digits than its factorization.

250590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 250590240 is about 15830.0423246434. The cubic root of 250590240 is about 630.4559058273.

The spelling of 250590240 in words is "two hundred fifty million, five hundred ninety thousand, two hundred forty".