250409664 has 224 divisors, whose sum is σ = 804672000. Its totient is φ = 76059648.

The previous prime is 250409657. The next prime is 250409681. The reversal of 250409664 is 466904052.

250409664 is a `hidden beast` number, since 2 + 504 + 0 + 96 + 64 = 666.

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, 951997 + ... + 952259.

Almost surely, 2^250409664 is an apocalyptic number.

250409664 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 250409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402336000).

250409664 is an abundant number, since it is smaller than the sum of its proper divisors (554262336).

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

250409664 is a wasteful number, since it uses less digits than its factorization.

250409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 250409664 is about 15824.3377112598. The cubic root of 250409664 is about 630.3044333646.

The spelling of 250409664 in words is "two hundred fifty million, four hundred nine thousand, six hundred sixty-four".