408888841 has 9 divisors (see below), whose sum is σ = 416068821. Its totient is φ = 401831712.

The previous prime is 408888833. The next prime is 408888847. The reversal of 408888841 is 148888804.

The square root of 408888841 is 20221.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33304441 + 375584400 = 5771^2 + 19380^2 .

It is not a de Polignac number, because 408888841 - 2³ = 408888833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408888847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1475995 + ... + 1476271.

It is an arithmetic number, because the mean of its divisors is an integer number (46229869).

Almost surely, 2^408888841 is an apocalyptic number.

408888841 is the 20221-st square number.

408888841 is the 10111-st centered octagonal number.

It is an amenable number.

408888841 is a deficient number, since it is larger than the sum of its proper divisors (7179980).

408888841 is an frugal number, since it uses more digits than its factorization.

408888841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 49.

The cubic root of 408888841 is about 742.2241587043.

Multiplying 408888841 by its sum of digits (49), we get a square (20035553209 = 141547²).

It can be divided in two parts, 40888 and 8841, that added together give a square (49729 = 223²).

The spelling of 408888841 in words is "four hundred eight million, eight hundred eighty-eight thousand, eight hundred forty-one".