250064000 has 64 divisors (see below), whose sum is σ = 621761400. Its totient is φ = 100019200.

The previous prime is 250063991. The next prime is 250064041. The reversal of 250064000 is 460052.

250064000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165276736 + 84787264 = 12856^2 + 9208^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 250064000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8186 + ... + 23814.

Almost surely, 2^250064000 is an apocalyptic number.

250064000 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 250064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310880700).

250064000 is an abundant number, since it is smaller than the sum of its proper divisors (371697400).

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

250064000 is an equidigital number, since it uses as much as digits as its factorization.

250064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15658 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 250064000 is about 15813.4120290341. The cubic root of 250064000 is about 630.0142769923.

The spelling of 250064000 in words is "two hundred fifty million, sixty-four thousand".