724439040 has 208 divisors, whose sum is σ = 2498975808. Its totient is φ = 178126848.

The previous prime is 724439029. The next prime is 724439047. The reversal of 724439040 is 40934427.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×724439040² = 1049623845352243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 724438992 and 724439010.

It is not an unprimeable number, because it can be changed into a prime (724439047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798267 + ... + 799173.

Almost surely, 2^724439040 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 724439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249487904).

724439040 is an abundant number, since it is smaller than the sum of its proper divisors (1774536768).

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

724439040 is a wasteful number, since it uses less digits than its factorization.

724439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 724439040 is about 26915.4052542406. The cubic root of 724439040 is about 898.1191337356.

The spelling of 724439040 in words is "seven hundred twenty-four million, four hundred thirty-nine thousand, forty".