724993416 has 336 divisors, whose sum is σ = 2467119600. Its totient is φ = 198894528.

The previous prime is 724993411. The next prime is 724993433. The reversal of 724993416 is 614399427.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (724993411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12287995 + ... + 12288053.

Almost surely, 2^724993416 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 724993416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233559800).

724993416 is an abundant number, since it is smaller than the sum of its proper divisors (1742126184).

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

724993416 is a wasteful number, since it uses less digits than its factorization.

724993416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 724993416 is about 26925.7017735843. The cubic root of 724993416 is about 898.3481701416.

The spelling of 724993416 in words is "seven hundred twenty-four million, nine hundred ninety-three thousand, four hundred sixteen".