249516904 has 64 divisors (see below), whose sum is σ = 578672640. Its totient is φ = 98219520.

The previous prime is 249516893. The next prime is 249516907. The reversal of 249516904 is 409615942.

It is not an unprimeable number, because it can be changed into a prime (249516907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168889 + ... + 170359.

It is an arithmetic number, because the mean of its divisors is an integer number (9041760).

Almost surely, 2^249516904 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 249516904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289336320).

249516904 is an abundant number, since it is smaller than the sum of its proper divisors (329155736).

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

249516904 is a wasteful number, since it uses less digits than its factorization.

249516904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 249516904 is about 15796.1040766386. The cubic root of 249516904 is about 629.5544880823.

The spelling of 249516904 in words is "two hundred forty-nine million, five hundred sixteen thousand, nine hundred four".