249403728 has 120 divisors (see below), whose sum is σ = 789071520. Its totient is φ = 67495680.

The previous prime is 249403699. The next prime is 249403733. The reversal of 249403728 is 827304942.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41898 + ... + 47478.

It is an arithmetic number, because the mean of its divisors is an integer number (6575596).

Almost surely, 2^249403728 is an apocalyptic number.

249403728 is a gapful number since it is divisible by the number (28) 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 249403728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394535760).

249403728 is an abundant number, since it is smaller than the sum of its proper divisors (539667792).

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

249403728 is a wasteful number, since it uses less digits than its factorization.

249403728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 249403728 is about 15792.5212679926. The cubic root of 249403728 is about 629.4592891426.

The spelling of 249403728 in words is "two hundred forty-nine million, four hundred three thousand, seven hundred twenty-eight".