249804324 has 480 divisors, whose sum is σ = 936714240. Its totient is φ = 55987200.

The previous prime is 249804323. The next prime is 249804433. The reversal of 249804324 is 423408942.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249804323) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8058189 + ... + 8058219.

It is an arithmetic number, because the mean of its divisors is an integer number (1951488).

Almost surely, 2^249804324 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 249804324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468357120).

249804324 is an abundant number, since it is smaller than the sum of its proper divisors (686909916).

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

249804324 is a wasteful number, since it uses less digits than its factorization.

249804324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 249804324 is about 15805.1992711259. The cubic root of 249804324 is about 629.7961245068.

The spelling of 249804324 in words is "two hundred forty-nine million, eight hundred four thousand, three hundred twenty-four".