249127040 has 64 divisors (see below), whose sum is σ = 601859160. Its totient is φ = 98598912.

The previous prime is 249126991. The next prime is 249127049. The reversal of 249127040 is 40721942.

It can be written as a sum of positive squares in 4 ways, for example, as 226924096 + 22202944 = 15064^2 + 4712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 249126994 and 249127012.

It is not an unprimeable number, because it can be changed into a prime (249127049) 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 7 ways as a sum of consecutive naturals, for example, 60074 + ... + 64086.

Almost surely, 2^249127040 is an apocalyptic number.

249127040 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 249127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300929580).

249127040 is an abundant number, since it is smaller than the sum of its proper divisors (352732120).

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

249127040 is an equidigital number, since it uses as much as digits as its factorization.

249127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 249127040 is about 15783.7587411871. The cubic root of 249127040 is about 629.2264293820.

Adding to 249127040 its reverse (40721942), we get a palindrome (289848982).

The spelling of 249127040 in words is "two hundred forty-nine million, one hundred twenty-seven thousand, forty".