408221100 has 144 divisors (see below), whose sum is σ = 1499904000. Its totient is φ = 93303360.

The previous prime is 408221083. The next prime is 408221117. The reversal of 408221100 is 1122804.

It is an interprime number because it is at equal distance from previous prime (408221083) and next prime (408221117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8101 + ... + 29699.

It is an arithmetic number, because the mean of its divisors is an integer number (10416000).

Almost surely, 2^408221100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952000).

408221100 is an abundant number, since it is smaller than the sum of its proper divisors (1091682900).

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

408221100 is a wasteful number, since it uses less digits than its factorization.

408221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21629 (or 21616 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 408221100 is about 20204.4821759925. The cubic root of 408221100 is about 741.8199057741.

Adding to 408221100 its reverse (1122804), we get a palindrome (409343904).

It can be divided in two parts, 408221 and 100, that added together give a square (408321 = 639²).

The spelling of 408221100 in words is "four hundred eight million, two hundred twenty-one thousand, one hundred".