726480 has 60 divisors (see below), whose sum is σ = 2442180. Its totient is φ = 193536.

The previous prime is 726469. The next prime is 726487. The reversal of 726480 is 84627.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 484416 = 492^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 726480.

It is not an unprimeable number, because it can be changed into a prime (726487) by changing a digit.

726480 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 11 ways as a sum of consecutive naturals, for example, 216 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (40703).

2⁷²⁶⁴⁸⁰ 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 726480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221090).

726480 is an abundant number, since it is smaller than the sum of its proper divisors (1715700).

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

726480 is a wasteful number, since it uses less digits than its factorization.

726480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1019 counting only the distinct ones).

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

The square root of 726480 is about 852.3379611398. The cubic root of 726480 is about 89.8961765723.

The spelling of 726480 in words is "seven hundred twenty-six thousand, four hundred eighty".