404120100 has 72 divisors (see below), whose sum is σ = 1194173568. Its totient is φ = 105468800.

The previous prime is 404120099. The next prime is 404120113. The reversal of 404120100 is 1021404.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231 + ... + 28430.

It is an arithmetic number, because the mean of its divisors is an integer number (16585744).

Almost surely, 2^404120100 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 404120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597086784).

404120100 is an abundant number, since it is smaller than the sum of its proper divisors (790053468).

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

404120100 is a wasteful number, since it uses less digits than its factorization.

404120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28725 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 404120100 is about 20102.7386194021. The cubic root of 404120100 is about 739.3274263913.

Adding to 404120100 its reverse (1021404), we get a palindrome (405141504).

The spelling of 404120100 in words is "four hundred four million, one hundred twenty thousand, one hundred".