249383232 has 224 divisors, whose sum is σ = 855878400. Its totient is φ = 69728256.

The previous prime is 249383231. The next prime is 249383243. The reversal of 249383232 is 232383942.

249383232 is a `hidden beast` number, since 2 + 49 + 383 + 232 = 666.

249383232 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 (224).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (249383231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 640894 + ... + 641282.

Almost surely, 2^249383232 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 249383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939200).

249383232 is an abundant number, since it is smaller than the sum of its proper divisors (606495168).

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

249383232 is a wasteful number, since it uses less digits than its factorization.

249383232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

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

The square root of 249383232 is about 15791.8723399095. The cubic root of 249383232 is about 629.4420456808.

The spelling of 249383232 in words is "two hundred forty-nine million, three hundred eighty-three thousand, two hundred thirty-two".