249365540 has 48 divisors (see below), whose sum is σ = 552666240. Its totient is φ = 94321920.

The previous prime is 249365539. The next prime is 249365549. The reversal of 249365540 is 45563942.

It is a junction number, because it is equal to n+sod(n) for n = 249365494 and 249365503.

It is not an unprimeable number, because it can be changed into a prime (249365549) 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, 37895 + ... + 43985.

It is an arithmetic number, because the mean of its divisors is an integer number (11513880).

Almost surely, 2^249365540 is an apocalyptic number.

249365540 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 249365540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276333120).

249365540 is an abundant number, since it is smaller than the sum of its proper divisors (303300700).

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

249365540 is a wasteful number, since it uses less digits than its factorization.

249365540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 249365540 is about 15791.3121684045. The cubic root of 249365540 is about 629.4271604886.

The spelling of 249365540 in words is "two hundred forty-nine million, three hundred sixty-five thousand, five hundred forty".