250164640 has 96 divisors (see below), whose sum is σ = 678767040. Its totient is φ = 86169600.

The previous prime is 250164631. The next prime is 250164647. The reversal of 250164640 is 46461052.

250164640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 250164599 and 250164608.

It is not an unprimeable number, because it can be changed into a prime (250164647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29700 + ... + 37180.

It is an arithmetic number, because the mean of its divisors is an integer number (7070490).

Almost surely, 2^250164640 is an apocalyptic number.

250164640 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 250164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339383520).

250164640 is an abundant number, since it is smaller than the sum of its proper divisors (428602400).

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

250164640 is a wasteful number, since it uses less digits than its factorization.

250164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 250164640 is about 15816.5938178863. The cubic root of 250164640 is about 630.0987835358.

The spelling of 250164640 in words is "two hundred fifty million, one hundred sixty-four thousand, six hundred forty".