408727089 has 27 divisors (see below), whose sum is σ = 619282027. Its totient is φ = 259748016.

The previous prime is 408727079. The next prime is 408727091. The reversal of 408727089 is 980727804.

The square root of 408727089 is 20217.

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

It can be written as a sum of positive squares in only one way, i.e., 386712225 + 22014864 = 19665^2 + 4692^2 .

It is not a de Polignac number, because 408727089 - 2¹¹ = 408725041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (408727019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1394827 + ... + 1395119.

Almost surely, 2^408727089 is an apocalyptic number.

408727089 is the 20217-th square number.

408727089 is the 10109-th centered octagonal number.

It is an amenable number.

408727089 is a deficient number, since it is larger than the sum of its proper divisors (210554938).

408727089 is an equidigital number, since it uses as much as digits as its factorization.

408727089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The cubic root of 408727089 is about 742.1262738478.

It can be divided in two parts, 40872 and 7089, that added together give a square (47961 = 219²).

The spelling of 408727089 in words is "four hundred eight million, seven hundred twenty-seven thousand, eighty-nine".