404101404 has 72 divisors (see below), whose sum is σ = 1179036768. Its totient is φ = 114307200.

The previous prime is 404101381. The next prime is 404101409.

404101404 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404101409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17514 + ... + 33390.

Almost surely, 2^404101404 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 404101404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589518384).

404101404 is an abundant number, since it is smaller than the sum of its proper divisors (774935364).

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

404101404 is a wasteful number, since it uses less digits than its factorization.

404101404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15995 (or 15990 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 404101404 is about 20102.2736027545. The cubic root of 404101404 is about 739.3160249302.

It can be divided in two parts, 40410 and 1404, that added together give a palindrome (41814).

The spelling of 404101404 in words is "four hundred four million, one hundred one thousand, four hundred four".