249342336 has 96 divisors (see below), whose sum is σ = 724950720. Its totient is φ = 82252800.

The previous prime is 249342323. The next prime is 249342341. The reversal of 249342336 is 633243942.

It is a tau number, because it is divible by the number of its divisors (96).

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 nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 249342336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115281 + ... + 117423.

It is an arithmetic number, because the mean of its divisors is an integer number (7551570).

Almost surely, 2^249342336 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 249342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362475360).

249342336 is an abundant number, since it is smaller than the sum of its proper divisors (475608384).

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

249342336 is a wasteful number, since it uses less digits than its factorization.

249342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2249 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 249342336 is about 15790.5774435262. The cubic root of 249342336 is about 629.4076366991.

The spelling of 249342336 in words is "two hundred forty-nine million, three hundred forty-two thousand, three hundred thirty-six".