724842240 has 288 divisors, whose sum is σ = 2507742720. Its totient is φ = 177881088.

The previous prime is 724842197. The next prime is 724842253. The reversal of 724842240 is 42248427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2561139 + ... + 2561421.

It is an arithmetic number, because the mean of its divisors is an integer number (8707440).

Almost surely, 2^724842240 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 724842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253871360).

724842240 is an abundant number, since it is smaller than the sum of its proper divisors (1782900480).

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

724842240 is a wasteful number, since it uses less digits than its factorization.

724842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 724842240 is about 26922.8943466337. The cubic root of 724842240 is about 898.2857244601.

The spelling of 724842240 in words is "seven hundred twenty-four million, eight hundred forty-two thousand, two hundred forty".