408322849 has 15 divisors (see below), whose sum is σ = 451857985. Its totient is φ = 368979820.

The previous prime is 408322777. The next prime is 408322853. The reversal of 408322849 is 948223804.

The square root of 408322849 is 20207.

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

It is not a de Polignac number, because 408322849 - 2¹³ = 408314657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408322249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2444964 + ... + 2445130.

Almost surely, 2^408322849 is an apocalyptic number.

408322849 is the 20207-th square number.

408322849 is the 10104-th centered octagonal number.

It is an amenable number.

408322849 is a deficient number, since it is larger than the sum of its proper divisors (43535136).

408322849 is an frugal number, since it uses more digits than its factorization.

408322849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The cubic root of 408322849 is about 741.8815334586.

It can be divided in two parts, 40832 and 2849, that added together give a square (43681 = 209²).

The spelling of 408322849 in words is "four hundred eight million, three hundred twenty-two thousand, eight hundred forty-nine".