249281280 has 144 divisors (see below), whose sum is σ = 884724960. Its totient is φ = 66465792.

The previous prime is 249281269. The next prime is 249281281. The reversal of 249281280 is 82182942.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (249281281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30954 + ... + 38166.

Almost surely, 2^249281280 is an apocalyptic number.

249281280 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 249281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442362480).

249281280 is an abundant number, since it is smaller than the sum of its proper divisors (635443680).

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

249281280 is an equidigital number, since it uses as much as digits as its factorization.

249281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 249281280 is about 15788.6440203078. The cubic root of 249281280 is about 629.3562585412.

The spelling of 249281280 in words is "two hundred forty-nine million, two hundred eighty-one thousand, two hundred eighty".