249080832 has 528 divisors, whose sum is σ = 1001425152. Its totient is φ = 59719680.

The previous prime is 249080809. The next prime is 249080849. The reversal of 249080832 is 238080942.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19160058 + ... + 19160070.

Almost surely, 2^249080832 is an apocalyptic number.

249080832 is a gapful number since it is divisible by the number (22) 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 249080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500712576).

249080832 is an abundant number, since it is smaller than the sum of its proper divisors (752344320).

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

249080832 is a wasteful number, since it uses less digits than its factorization.

249080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 249080832 is about 15782.2948901609. The cubic root of 249080832 is about 629.1875240740.

249080832 divided by its product of nonzero digits (27648) gives a palindrome (9009).

The spelling of 249080832 in words is "two hundred forty-nine million, eighty thousand, eight hundred thirty-two".