249936384 has 160 divisors (see below), whose sum is σ = 714954240. Its totient is φ = 77414400.

The previous prime is 249936373. The next prime is 249936389. The reversal of 249936384 is 483639942.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (249936389) 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 15 ways as a sum of consecutive naturals, for example, 1380774 + ... + 1380954.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^249936384 is an apocalyptic number.

249936384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

249936384 is an abundant number, since it is smaller than the sum of its proper divisors (465017856).

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

249936384 is a wasteful number, since it uses less digits than its factorization.

249936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 249936384 is about 15809.3764582921. The cubic root of 249936384 is about 629.9070863228.

It can be divided in two parts, 2499 and 36384, that added together give a palindrome (38883).

The spelling of 249936384 in words is "two hundred forty-nine million, nine hundred thirty-six thousand, three hundred eighty-four".