724465408 has 72 divisors (see below), whose sum is σ = 1546294176. Its totient is φ = 337920000.

The previous prime is 724465403. The next prime is 724465409. The reversal of 724465408 is 804564427.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724465403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239908 + ... + 242908.

It is an arithmetic number, because the mean of its divisors is an integer number (21476308).

Almost surely, 2^724465408 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 724465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773147088).

724465408 is an abundant number, since it is smaller than the sum of its proper divisors (821828768).

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

724465408 is a wasteful number, since it uses less digits than its factorization.

724465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 724465408 is about 26915.8950807882. The cubic root of 724465408 is about 898.1300301289.

The spelling of 724465408 in words is "seven hundred twenty-four million, four hundred sixty-five thousand, four hundred eight".