726056460 has 120 divisors (see below), whose sum is σ = 2296250880. Its totient is φ = 192036096.

The previous prime is 726056453. The next prime is 726056489. The reversal of 726056460 is 64650627.

726056460 is a `hidden beast` number, since 7 + 2 + 6 + 0 + 5 + 646 + 0 = 666.

726056460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203976 + ... + 207504.

It is an arithmetic number, because the mean of its divisors is an integer number (19135424).

Almost surely, 2^726056460 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 726056460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148125440).

726056460 is an abundant number, since it is smaller than the sum of its proper divisors (1570194420).

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

726056460 is a wasteful number, since it uses less digits than its factorization.

726056460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 726056460 is about 26945.4348638132. The cubic root of 726056460 is about 898.7870326346.

The spelling of 726056460 in words is "seven hundred twenty-six million, fifty-six thousand, four hundred sixty".