249317376 has 384 divisors, whose sum is σ = 905748480. Its totient is φ = 58982400.

The previous prime is 249317357. The next prime is 249317377. The reversal of 249317376 is 673713942.

249317376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (249317377) 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, 8042481 + ... + 8042511.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^249317376 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 249317376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

249317376 is an abundant number, since it is smaller than the sum of its proper divisors (656431104).

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

249317376 is a wasteful number, since it uses less digits than its factorization.

249317376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 249317376 is about 15789.7870789951. The cubic root of 249317376 is about 629.3866340633.

The spelling of 249317376 in words is "two hundred forty-nine million, three hundred seventeen thousand, three hundred seventy-six".