724740240 has 160 divisors (see below), whose sum is σ = 2575478016. Its totient is φ = 165150720.

The previous prime is 724740221. The next prime is 724740293. The reversal of 724740240 is 42047427.

It is a Cunningham number, because it is equal to 26921²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 724740198 and 724740207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076544 + ... + 1077216.

Almost surely, 2^724740240 is an apocalyptic number.

724740240 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 724740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287739008).

724740240 is an abundant number, since it is smaller than the sum of its proper divisors (1850737776).

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

724740240 is a wasteful number, since it uses less digits than its factorization.

724740240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 724740240 is about 26920.9999814271. Note that the first 4 decimals coincide. The cubic root of 724740240 is about 898.2435868119.

Adding to 724740240 its reverse (42047427), we get a palindrome (766787667).

The spelling of 724740240 in words is "seven hundred twenty-four million, seven hundred forty thousand, two hundred forty".