249365760 has 144 divisors (see below), whose sum is σ = 910283136. Its totient is φ = 56991744.

The previous prime is 249365723. The next prime is 249365761. The reversal of 249365760 is 67563942.

249365760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249365761) 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, 22242 + ... + 31518.

Almost surely, 2^249365760 is an apocalyptic number.

249365760 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 249365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455141568).

249365760 is an abundant number, since it is smaller than the sum of its proper divisors (660917376).

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

249365760 is an equidigital number, since it uses as much as digits as its factorization.

249365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 249365760 is about 15791.3191342585. The cubic root of 249365760 is about 629.4273455902.

The spelling of 249365760 in words is "two hundred forty-nine million, three hundred sixty-five thousand, seven hundred sixty".