249431040 has 132 divisors (see below), whose sum is σ = 864431724. Its totient is φ = 66502656.

The previous prime is 249431029. The next prime is 249431047. The reversal of 249431040 is 40134942.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 178062336 = 8448^2 + 13344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 249430995 and 249431013.

It is not an unprimeable number, because it can be changed into a prime (249431047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43374 + ... + 48786.

Almost surely, 2^249431040 is an apocalyptic number.

249431040 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 249431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432215862).

249431040 is an abundant number, since it is smaller than the sum of its proper divisors (615000684).

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

249431040 is a wasteful number, since it uses less digits than its factorization.

249431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 249431040 is about 15793.3859574190. The cubic root of 249431040 is about 629.4822654960.

Adding to 249431040 its reverse (40134942), we get a palindrome (289565982).

The spelling of 249431040 in words is "two hundred forty-nine million, four hundred thirty-one thousand, forty".