408212100 has 54 divisors (see below), whose sum is σ = 1279520970. Its totient is φ = 108856320.

The previous prime is 408212099. The next prime is 408212111. The reversal of 408212100 is 1212804.

It can be written as a sum of positive squares in 3 ways, for example, as 23503104 + 384708996 = 4848^2 + 19614^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 225885 + ... + 227684.

Almost surely, 2^408212100 is an apocalyptic number.

It is an amenable number.

408212100 is an abundant number, since it is smaller than the sum of its proper divisors (871308870).

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

408212100 is a wasteful number, since it uses less digits than its factorization.

408212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453589 (or 453579 counting only the distinct ones).

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

The square root of 408212100 is about 20204.2594519077. The cubic root of 408212100 is about 741.8144541302.

Adding to 408212100 its reverse (1212804), we get a palindrome (409424904).

The spelling of 408212100 in words is "four hundred eight million, two hundred twelve thousand, one hundred".