250580772 has 72 divisors (see below), whose sum is σ = 684061560. Its totient is φ = 76884480.

The previous prime is 250580753. The next prime is 250580773. The reversal of 250580772 is 277085052.

250580772 is a `hidden beast` number, since 2 + 5 + 0 + 580 + 7 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 249197796 = 1176^2 + 15786^2 .

It is a super-2 number, since 2×250580772² = 125581446592231968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (250580773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265822 + ... + 266762.

It is an arithmetic number, because the mean of its divisors is an integer number (9500855).

Almost surely, 2^250580772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250580772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342030780).

250580772 is an abundant number, since it is smaller than the sum of its proper divisors (433480788).

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

250580772 is a wasteful number, since it uses less digits than its factorization.

250580772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 250580772 is about 15829.7432701860. The cubic root of 250580772 is about 630.4479655982.

The spelling of 250580772 in words is "two hundred fifty million, five hundred eighty thousand, seven hundred seventy-two".