250006560 has 192 divisors, whose sum is σ = 841881600. Its totient is φ = 62180352.

The previous prime is 250006553. The next prime is 250006577. The reversal of 250006560 is 65600052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 250006560.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 720307 + ... + 720653.

It is an arithmetic number, because the mean of its divisors is an integer number (4384800).

Almost surely, 2^250006560 is an apocalyptic number.

250006560 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 250006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420940800).

250006560 is an abundant number, since it is smaller than the sum of its proper divisors (591875040).

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

250006560 is a wasteful number, since it uses less digits than its factorization.

250006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 250006560 is about 15811.5957448956. The cubic root of 250006560 is about 629.9660349540.

The spelling of 250006560 in words is "two hundred fifty million, six thousand, five hundred sixty".