724942440 has 256 divisors, whose sum is σ = 2543616000. Its totient is φ = 183409920.

The previous prime is 724942423. The next prime is 724942457. The reversal of 724942440 is 44249427.

It is an interprime number because it is at equal distance from previous prime (724942423) and next prime (724942457).

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

It is a junction number, because it is equal to n+sod(n) for n = 724942395 and 724942404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1975137 + ... + 1975503.

It is an arithmetic number, because the mean of its divisors is an integer number (9936000).

Almost surely, 2^724942440 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 724942440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271808000).

724942440 is an abundant number, since it is smaller than the sum of its proper divisors (1818673560).

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

724942440 is a wasteful number, since it uses less digits than its factorization.

724942440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 724942440 is about 26924.7551520901. The cubic root of 724942440 is about 898.3271146540.

The spelling of 724942440 in words is "seven hundred twenty-four million, nine hundred forty-two thousand, four hundred forty".