250928640 has 120 divisors (see below), whose sum is σ = 869116248. Its totient is φ = 66908160.

The previous prime is 250928633. The next prime is 250928669. The reversal of 250928640 is 46829052.

It is a happy number.

250928640 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 2 + 8 + 640 = 666.

250928640 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 250928595 and 250928604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17595 + ... + 28485.

Almost surely, 2^250928640 is an apocalyptic number.

250928640 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 250928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434558124).

250928640 is an abundant number, since it is smaller than the sum of its proper divisors (618187608).

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

250928640 is a wasteful number, since it uses less digits than its factorization.

250928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 250928640 is about 15840.7272560322. The cubic root of 250928640 is about 630.7395698617.

The spelling of 250928640 in words is "two hundred fifty million, nine hundred twenty-eight thousand, six hundred forty".