726949444 has 81 divisors (see below), whose sum is σ = 1487729061. Its totient is φ = 310602240.

The previous prime is 726949439. The next prime is 726949459. The reversal of 726949444 is 444949627.

The square root of 726949444 is 26962.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 721567044 + 5382400 = 26862^2 + 2320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11917174 + ... + 11917234.

Almost surely, 2^726949444 is an apocalyptic number.

726949444 is the 26962-nd square number.

It is an amenable number.

726949444 is an abundant number, since it is smaller than the sum of its proper divisors (760779617).

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

726949444 is a wasteful number, since it uses less digits than its factorization.

726949444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The cubic root of 726949444 is about 899.1553573520.

Multiplying 726949444 by its sum of digits (49), we get a square (35620522756 = 188734²).

The spelling of 726949444 in words is "seven hundred twenty-six million, nine hundred forty-nine thousand, four hundred forty-four".