250193664 has 144 divisors (see below), whose sum is σ = 845725440. Its totient is φ = 71470080.

The previous prime is 250193663. The next prime is 250193677. The reversal of 250193664 is 466391052.

It is a happy number.

250193664 is a `hidden beast` number, since 2 + 501 + 93 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250193663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45799 + ... + 50969.

Almost surely, 2^250193664 is an apocalyptic number.

250193664 is a gapful number since it is divisible by the number (24) 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 250193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422862720).

250193664 is an abundant number, since it is smaller than the sum of its proper divisors (595531776).

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

250193664 is an equidigital number, since it uses as much as digits as its factorization.

250193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 250193664 is about 15817.5113086731. The cubic root of 250193664 is about 630.1231505285.

The spelling of 250193664 in words is "two hundred fifty million, one hundred ninety-three thousand, six hundred sixty-four".