404412100 has 27 divisors (see below), whose sum is σ = 878010861. Its totient is φ = 161684400.

The previous prime is 404412053. The next prime is 404412103. The reversal of 404412100 is 1214404.

The square root of 404412100 is 20110.

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

It can be written as a sum of positive squares in only one way, i.e., 145588356 + 258823744 = 12066^2 + 16088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404412103) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 200095 + ... + 202105.

Almost surely, 2^404412100 is an apocalyptic number.

404412100 is the 20110-th square number.

It is an amenable number.

404412100 is an abundant number, since it is smaller than the sum of its proper divisors (473598761).

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

404412100 is an equidigital number, since it uses as much as digits as its factorization.

404412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The cubic root of 404412100 is about 739.5054523735.

Multiplying 404412100 by its sum of digits (16), we get a square (6470593600 = 80440²).

Adding to 404412100 its reverse (1214404), we get a palindrome (405626504).

Multiplying 404412100 by its reverse (1214404), we get a square (491119671888400 = 22161220²).

The spelling of 404412100 in words is "four hundred four million, four hundred twelve thousand, one hundred".