249791880 has 128 divisors (see below), whose sum is σ = 854582400. Its totient is φ = 57864192.

The previous prime is 249791873. The next prime is 249791881. The reversal of 249791880 is 88197942.

It is not an unprimeable number, because it can be changed into a prime (249791881) 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 31 ways as a sum of consecutive naturals, for example, 21811 + ... + 31229.

It is an arithmetic number, because the mean of its divisors is an integer number (6676425).

Almost surely, 2^249791880 is an apocalyptic number.

249791880 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 249791880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427291200).

249791880 is an abundant number, since it is smaller than the sum of its proper divisors (604790520).

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

249791880 is a wasteful number, since it uses less digits than its factorization.

249791880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9463 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 249791880 is about 15804.8055982983. The cubic root of 249791880 is about 629.7856665705.

The spelling of 249791880 in words is "two hundred forty-nine million, seven hundred ninety-one thousand, eight hundred eighty".