726408 has 80 divisors (see below), whose sum is σ = 2178000. Its totient is φ = 225504.

The previous prime is 726391. The next prime is 726413. The reversal of 726408 is 804627.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12283 + ... + 12341.

It is an arithmetic number, because the mean of its divisors is an integer number (27225).

2⁷²⁶⁴⁰⁸ 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 726408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089000).

726408 is an abundant number, since it is smaller than the sum of its proper divisors (1451592).

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

726408 is a wasteful number, since it uses less digits than its factorization.

726408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 726408 is about 852.2957233261. The cubic root of 726408 is about 89.8932066633.

The spelling of 726408 in words is "seven hundred twenty-six thousand, four hundred eight".