249494616 has 96 divisors (see below), whose sum is σ = 805858560. Its totient is φ = 68181696.

The previous prime is 249494591. The next prime is 249494617. The reversal of 249494616 is 616494942.

249494616 is a `hidden beast` number, since 24 + 9 + 4 + 9 + 4 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249494617) 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, 831 + ... + 22353.

It is an arithmetic number, because the mean of its divisors is an integer number (8394360).

Almost surely, 2^249494616 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 249494616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402929280).

249494616 is an abundant number, since it is smaller than the sum of its proper divisors (556363944).

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

249494616 is a wasteful number, since it uses less digits than its factorization.

249494616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21565 (or 21558 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 249494616 is about 15795.3985704698. The cubic root of 249494616 is about 629.5357426212.

The spelling of 249494616 in words is "two hundred forty-nine million, four hundred ninety-four thousand, six hundred sixteen".