724497480 has 256 divisors, whose sum is σ = 2820096000. Its totient is φ = 161996544.

The previous prime is 724497463. The next prime is 724497491. The reversal of 724497480 is 84794427.

724497480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354301 + ... + 356339.

It is an arithmetic number, because the mean of its divisors is an integer number (11016000).

Almost surely, 2^724497480 is an apocalyptic number.

724497480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724497480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410048000).

724497480 is an abundant number, since it is smaller than the sum of its proper divisors (2095598520).

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

724497480 is a wasteful number, since it uses less digits than its factorization.

724497480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 724497480 is about 26916.4908559790. The cubic root of 724497480 is about 898.1432833042.

The spelling of 724497480 in words is "seven hundred twenty-four million, four hundred ninety-seven thousand, four hundred eighty".