249684916 has 72 divisors (see below), whose sum is σ = 516615624. Its totient is φ = 104540160.

The previous prime is 249684901. The next prime is 249684923. The reversal of 249684916 is 619486942.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 248692900 = 996^2 + 15770^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 249684916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3008211 + ... + 3008293.

It is an arithmetic number, because the mean of its divisors is an integer number (7175217).

Almost surely, 2^249684916 is an apocalyptic number.

249684916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

249684916 is an abundant number, since it is smaller than the sum of its proper divisors (266930708).

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

249684916 is a wasteful number, since it uses less digits than its factorization.

249684916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 156 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 249684916 is about 15801.4213284755. The cubic root of 249684916 is about 629.6957597092.

The spelling of 249684916 in words is "two hundred forty-nine million, six hundred eighty-four thousand, nine hundred sixteen".