411805849 has 27 divisors (see below), whose sum is σ = 521059743. Its totient is φ = 324363312.

The previous prime is 411805847. The next prime is 411805859. The reversal of 411805849 is 948508114.

The square root of 411805849 is 20293.

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., 60918025 + 350887824 = 7805^2 + 18732^2 .

It is not a de Polignac number, because 411805849 - 2¹ = 411805847 is a prime.

It is a super-2 number, since 2×411805849² = 339168114541221602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411805847) 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 26 ways as a sum of consecutive naturals, for example, 1846552 + ... + 1846774.

It is an arithmetic number, because the mean of its divisors is an integer number (19298509).

Almost surely, 2^411805849 is an apocalyptic number.

411805849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

411805849 is the 20293-rd square number.

411805849 is the 10147-th centered octagonal number.

It is an amenable number.

411805849 is a deficient number, since it is larger than the sum of its proper divisors (109253894).

411805849 is an equidigital number, since it uses as much as digits as its factorization.

411805849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The cubic root of 411805849 is about 743.9849841123.

The spelling of 411805849 in words is "four hundred eleven million, eight hundred five thousand, eight hundred forty-nine".