726589440 has 336 divisors, whose sum is σ = 2647754928. Its totient is φ = 191102976.

The previous prime is 726589433. The next prime is 726589441. The reversal of 726589440 is 44985627.

It is a happy number.

726589440 is a `hidden beast` number, since 7 + 26 + 589 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726589441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953244 + ... + 9953316.

It is an arithmetic number, because the mean of its divisors is an integer number (7880223).

Almost surely, 2^726589440 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 726589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323877464).

726589440 is an abundant number, since it is smaller than the sum of its proper divisors (1921165488).

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

726589440 is an frugal number, since it uses more digits than its factorization.

726589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 726589440 is about 26955.3230364616. The cubic root of 726589440 is about 899.0069045825.

The spelling of 726589440 in words is "seven hundred twenty-six million, five hundred eighty-nine thousand, four hundred forty".