249720960 has 128 divisors (see below), whose sum is σ = 803727360. Its totient is φ = 65945600.

The previous prime is 249720949. The next prime is 249720967. The reversal of 249720960 is 69027942.

249720960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (249720967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216385 + ... + 217535.

It is an arithmetic number, because the mean of its divisors is an integer number (6279120).

Almost surely, 2^249720960 is an apocalyptic number.

249720960 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 249720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401863680).

249720960 is an abundant number, since it is smaller than the sum of its proper divisors (554006400).

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

249720960 is a wasteful number, since it uses less digits than its factorization.

249720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 249720960 is about 15802.5618176294. The cubic root of 249720960 is about 629.7260587787.

The spelling of 249720960 in words is "two hundred forty-nine million, seven hundred twenty thousand, nine hundred sixty".