724679424 has 270 divisors, whose sum is σ = 2456129676. Its totient is φ = 205470720.

The previous prime is 724679413. The next prime is 724679429. The reversal of 724679424 is 424976427.

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

It is a self number, because there is not a number n which added to its sum of digits gives 724679424.

It is not an unprimeable number, because it can be changed into a prime (724679429) 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 29 ways as a sum of consecutive naturals, for example, 5531839 + ... + 5531969.

Almost surely, 2^724679424 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 724679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228064838).

724679424 is an abundant number, since it is smaller than the sum of its proper divisors (1731450252).

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

724679424 is an equidigital number, since it uses as much as digits as its factorization.

724679424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 724679424 is about 26919.8704305946. The cubic root of 724679424 is about 898.2184609773.

The spelling of 724679424 in words is "seven hundred twenty-four million, six hundred seventy-nine thousand, four hundred twenty-four".