726440 has 64 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 241920.

The previous prime is 726431. The next prime is 726457. The reversal of 726440 is 44627.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 726440.

It is an unprimeable number.

726440 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 15 ways as a sum of consecutive naturals, for example, 5657 + ... + 5783.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁷²⁶⁴⁴⁰ 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 726440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

726440 is an abundant number, since it is smaller than the sum of its proper divisors (1208920).

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

726440 is a wasteful number, since it uses less digits than its factorization.

726440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 726440 is about 852.3144959462. The cubic root of 726440 is about 89.8945266471.

The spelling of 726440 in words is "seven hundred twenty-six thousand, four hundred forty".