729408 has 56 divisors (see below), whose sum is σ = 2011680. Its totient is φ = 232960.

The previous prime is 729403. The next prime is 729413. The reversal of 729408 is 804927.

It is an interprime number because it is at equal distance from previous prime (729403) and next prime (729413).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729408.

It is not an unprimeable number, because it can be changed into a prime (729403) by changing a digit.

729408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5503 + ... + 5633.

2⁷²⁹⁴⁰⁸ 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 729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005840).

729408 is an abundant number, since it is smaller than the sum of its proper divisors (1282272).

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

729408 is a wasteful number, since it uses less digits than its factorization.

729408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 729408 is about 854.0538624700. The cubic root of 729408 is about 90.0167869921.

The spelling of 729408 in words is "seven hundred twenty-nine thousand, four hundred eight".