249414336 has 224 divisors, whose sum is σ = 778337280. Its totient is φ = 78216192.

The previous prime is 249414331. The next prime is 249414337. The reversal of 249414336 is 633414942.

It is a happy number.

249414336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×249414336² = 124415022004641792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 249414336.

It is not an unprimeable number, because it can be changed into a prime (249414331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3004951 + ... + 3005033.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2^249414336 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 249414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389168640).

249414336 is an abundant number, since it is smaller than the sum of its proper divisors (528922944).

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

249414336 is a wasteful number, since it uses less digits than its factorization.

249414336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 249414336 is about 15792.8571195968. The cubic root of 249414336 is about 629.4682133737.

The spelling of 249414336 in words is "two hundred forty-nine million, four hundred fourteen thousand, three hundred thirty-six".