249081360 has 80 divisors (see below), whose sum is σ = 842356800. Its totient is φ = 60382720.

The previous prime is 249081359. The next prime is 249081367. The reversal of 249081360 is 63180942.

249081360 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (249081367) 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 15 ways as a sum of consecutive naturals, for example, 44535 + ... + 49814.

It is an arithmetic number, because the mean of its divisors is an integer number (10529460).

Almost surely, 2^249081360 is an apocalyptic number.

249081360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249081360 is an abundant number, since it is smaller than the sum of its proper divisors (593275440).

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

249081360 is a wasteful number, since it uses less digits than its factorization.

249081360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94376 (or 94370 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 249081360 is about 15782.3116177574. The cubic root of 249081360 is about 629.1879686563.

The spelling of 249081360 in words is "two hundred forty-nine million, eighty-one thousand, three hundred sixty".