408882820 has 24 divisors (see below), whose sum is σ = 864423000. Its totient is φ = 162454272.

The previous prime is 408882797. The next prime is 408882841. The reversal of 408882820 is 28288804.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3182656 + 405700164 = 1784^2 + 20142^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 65625 + ... + 71584.

It is an arithmetic number, because the mean of its divisors is an integer number (36017625).

Almost surely, 2^408882820 is an apocalyptic number.

It is an amenable number.

408882820 is an abundant number, since it is smaller than the sum of its proper divisors (455540180).

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

408882820 is a wasteful number, since it uses less digits than its factorization.

408882820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137367 (or 137365 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 408882820 is about 20220.8511195746. The cubic root of 408882820 is about 742.2205155352.

The spelling of 408882820 in words is "four hundred eight million, eight hundred eighty-two thousand, eight hundred twenty".