408946820 has 12 divisors (see below), whose sum is σ = 858788364. Its totient is φ = 163578720.

The previous prime is 408946793. The next prime is 408946871. The reversal of 408946820 is 28649804.

It can be written as a sum of positive squares in 2 ways, for example, as 168324676 + 240622144 = 12974^2 + 15512^2 .

It is a super-3 number, since 3×408946820³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10223651 + ... + 10223690.

It is an arithmetic number, because the mean of its divisors is an integer number (71565697).

Almost surely, 2^408946820 is an apocalyptic number.

It is an amenable number.

408946820 is an abundant number, since it is smaller than the sum of its proper divisors (449841544).

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

408946820 is a wasteful number, since it uses less digits than its factorization.

408946820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20447350 (or 20447348 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 408946820 is about 20222.4335825340. The cubic root of 408946820 is about 742.2592386383.

The spelling of 408946820 in words is "four hundred eight million, nine hundred forty-six thousand, eight hundred twenty".