250890480 has 160 divisors (see below), whose sum is σ = 885568320. Its totient is φ = 65249280.

The previous prime is 250890467. The next prime is 250890511. The reversal of 250890480 is 84098052.

250890480 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87144 + ... + 89976.

It is an arithmetic number, because the mean of its divisors is an integer number (5534802).

Almost surely, 2^250890480 is an apocalyptic number.

250890480 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 250890480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442784160).

250890480 is an abundant number, since it is smaller than the sum of its proper divisors (634677840).

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

250890480 is a wasteful number, since it uses less digits than its factorization.

250890480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 250890480 is about 15839.5227200822. The cubic root of 250890480 is about 630.7075949781.

The spelling of 250890480 in words is "two hundred fifty million, eight hundred ninety thousand, four hundred eighty".