249811540 has 48 divisors (see below), whose sum is σ = 576866304. Its totient is φ = 90115200.

The previous prime is 249811537. The next prime is 249811561. The reversal of 249811540 is 45118942.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 249811496 and 249811505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23470 + ... + 32410.

It is an arithmetic number, because the mean of its divisors is an integer number (12018048).

Almost surely, 2^249811540 is an apocalyptic number.

249811540 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 249811540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288433152).

249811540 is an abundant number, since it is smaller than the sum of its proper divisors (327054764).

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

249811540 is a wasteful number, since it uses less digits than its factorization.

249811540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088 (or 9086 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 249811540 is about 15805.4275487884. The cubic root of 249811540 is about 629.8021886733.

The spelling of 249811540 in words is "two hundred forty-nine million, eight hundred eleven thousand, five hundred forty".