249932880 has 60 divisors (see below), whose sum is σ = 839360340. Its totient is φ = 66648576.

The previous prime is 249932873. The next prime is 249932911. The reversal of 249932880 is 88239942.

249932880 is a `hidden beast` number, since 249 + 9 + 328 + 80 = 666.

249932880 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 83832336 + 166100544 = 9156^2 + 12888^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172845 + ... + 174284.

It is an arithmetic number, because the mean of its divisors is an integer number (13989339).

Almost surely, 2^249932880 is an apocalyptic number.

249932880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249932880 is an abundant number, since it is smaller than the sum of its proper divisors (589427460).

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

249932880 is a wasteful number, since it uses less digits than its factorization.

249932880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347148 (or 347139 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 249932880 is about 15809.2656375937. The cubic root of 249932880 is about 629.9041426340.

The spelling of 249932880 in words is "two hundred forty-nine million, nine hundred thirty-two thousand, eight hundred eighty".