249834816 has 336 divisors, whose sum is σ = 920544768. Its totient is φ = 62899200.

The previous prime is 249834803. The next prime is 249834821. The reversal of 249834816 is 618438942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1907071 + ... + 1907201.

Almost surely, 2^249834816 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 249834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460272384).

249834816 is an abundant number, since it is smaller than the sum of its proper divisors (670709952).

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

249834816 is a wasteful number, since it uses less digits than its factorization.

249834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 249834816 is about 15806.1638609752. The cubic root of 249834816 is about 629.8217485123.

The spelling of 249834816 in words is "two hundred forty-nine million, eight hundred thirty-four thousand, eight hundred sixteen".