724400336 has 40 divisors (see below), whose sum is σ = 1538068224. Its totient is φ = 327778560.

The previous prime is 724400333. The next prime is 724400351. The reversal of 724400336 is 633004427.

It is a happy number.

724400336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 724400299 and 724400308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724400333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30020 + ... + 48476.

Almost surely, 2^724400336 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 724400336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769034112).

724400336 is an abundant number, since it is smaller than the sum of its proper divisors (813667888).

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

724400336 is a wasteful number, since it uses less digits than its factorization.

724400336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18699 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 724400336 is about 26914.6862511901. The cubic root of 724400336 is about 898.1031390970.

The spelling of 724400336 in words is "seven hundred twenty-four million, four hundred thousand, three hundred thirty-six".