724308480 has 400 divisors, whose sum is σ = 2970792000. Its totient is φ = 165224448.

The previous prime is 724308461. The next prime is 724308499. The reversal of 724308480 is 84803427.

724308480 is a `hidden beast` number, since 72 + 430 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (724308461) and next prime (724308499).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451271 + ... + 1451769.

It is an arithmetic number, because the mean of its divisors is an integer number (7426980).

Almost surely, 2^724308480 is an apocalyptic number.

724308480 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 724308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485396000).

724308480 is an abundant number, since it is smaller than the sum of its proper divisors (2246483520).

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

724308480 is an equidigital number, since it uses as much as digits as its factorization.

724308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 724308480 is about 26912.9797681342. The cubic root of 724308480 is about 898.0651768243.

The spelling of 724308480 in words is "seven hundred twenty-four million, three hundred eight thousand, four hundred eighty".