249376320 has 196 divisors, whose sum is σ = 891166620. Its totient is φ = 66438144.

The previous prime is 249376301. The next prime is 249376333. The reversal of 249376320 is 23673942.

It is a happy number.

249376320 is digitally balanced in base 2, because in such base 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 103063104 + 146313216 = 10152^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 232746 + ... + 233814.

Almost surely, 2^249376320 is an apocalyptic number.

249376320 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 249376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445583310).

249376320 is an abundant number, since it is smaller than the sum of its proper divisors (641790300).

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

249376320 is an equidigital number, since it uses as much as digits as its factorization.

249376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 249376320 is about 15791.6534916392. The cubic root of 249376320 is about 629.4362303424.

The spelling of 249376320 in words is "two hundred forty-nine million, three hundred seventy-six thousand, three hundred twenty".