724408 has 32 divisors (see below), whose sum is σ = 1474560. Its totient is φ = 332640.

The previous prime is 724403. The next prime is 724433. The reversal of 724408 is 804427.

724408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724403) 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, 5641 + ... + 5767.

It is an arithmetic number, because the mean of its divisors is an integer number (46080).

2⁷²⁴⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

724408 is an abundant number, since it is smaller than the sum of its proper divisors (750152).

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

724408 is a wasteful number, since it uses less digits than its factorization.

724408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 724408 is about 851.1216129320. The cubic root of 724408 is about 89.8106306332.

The spelling of 724408 in words is "seven hundred twenty-four thousand, four hundred eight".