249287616 has 168 divisors, whose sum is σ = 770924544. Its totient is φ = 76792320.

The previous prime is 249287587. The next prime is 249287617. The reversal of 249287616 is 616782942.

It is a happy number.

249287616 is a `hidden beast` number, since 2 + 4 + 9 + 28 + 7 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249287617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410385 + ... + 410991.

Almost surely, 2^249287616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385462272).

249287616 is an abundant number, since it is smaller than the sum of its proper divisors (521636928).

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

249287616 is a wasteful number, since it uses less digits than its factorization.

249287616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 249287616 is about 15788.8446695760. The cubic root of 249287616 is about 629.3615906269.

The spelling of 249287616 in words is "two hundred forty-nine million, two hundred eighty-seven thousand, six hundred sixteen".