404114004 has 72 divisors (see below), whose sum is σ = 1236126528. Its totient is φ = 108668160.

The previous prime is 404114003. The next prime is 404114027. The reversal of 404114004 is 400411404.

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 (404114003) 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, 42882 + ... + 51449.

It is an arithmetic number, because the mean of its divisors is an integer number (17168424).

Almost surely, 2^404114004 is an apocalyptic number.

It is an amenable number.

404114004 is an abundant number, since it is smaller than the sum of its proper divisors (832012524).

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

404114004 is a wasteful number, since it uses less digits than its factorization.

404114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94365 (or 94360 counting only the distinct ones).

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

The square root of 404114004 is about 20102.5869976976. The cubic root of 404114004 is about 739.3237088803.

Adding to 404114004 its reverse (400411404), we get a palindrome (804525408).

It can be divided in two parts, 40411400 and 4, that added together give a palindrome (40411404).

The spelling of 404114004 in words is "four hundred four million, one hundred fourteen thousand, four".