724020400 has 60 divisors (see below), whose sum is σ = 1746475272. Its totient is φ = 288440320.

The previous prime is 724020379. The next prime is 724020431. The reversal of 724020400 is 4020427.

724020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99279 + ... + 106321.

Almost surely, 2^724020400 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 724020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873237636).

724020400 is an abundant number, since it is smaller than the sum of its proper divisors (1022454872).

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

724020400 is a wasteful number, since it uses less digits than its factorization.

724020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 724020400 is about 26907.6271714917. The cubic root of 724020400 is about 897.9460982225.

Adding to 724020400 its reverse (4020427), we get a palindrome (728040827).

The spelling of 724020400 in words is "seven hundred twenty-four million, twenty thousand, four hundred".