249435940 has 24 divisors (see below), whose sum is σ = 564109560. Its totient is φ = 92099328.

The previous prime is 249435937. The next prime is 249435947. The reversal of 249435940 is 49534942.

It can be written as a sum of positive squares in 4 ways, for example, as 238144 + 249197796 = 488^2 + 15786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 249435893 and 249435902.

It is not an unprimeable number, because it can be changed into a prime (249435947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479425 + ... + 479944.

It is an arithmetic number, because the mean of its divisors is an integer number (23504565).

Almost surely, 2^249435940 is an apocalyptic number.

249435940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249435940 is an abundant number, since it is smaller than the sum of its proper divisors (314673620).

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

249435940 is a wasteful number, since it uses less digits than its factorization.

249435940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959391 (or 959389 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 249435940 is about 15793.5410848866. The cubic root of 249435940 is about 629.4863874675.

The spelling of 249435940 in words is "two hundred forty-nine million, four hundred thirty-five thousand, nine hundred forty".