404110120 has 32 divisors (see below), whose sum is σ = 910287720. Its totient is φ = 161459200.

The previous prime is 404110093. The next prime is 404110127. The reversal of 404110120 is 21011404.

It can be written as a sum of positive squares in 4 ways, for example, as 366875716 + 37234404 = 19154^2 + 6102^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 404110120.

It is not an unprimeable number, because it can be changed into a prime (404110127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32820 + ... + 43420.

Almost surely, 2^404110120 is an apocalyptic number.

404110120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404110120 is an abundant number, since it is smaller than the sum of its proper divisors (506177600).

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

404110120 is a wasteful number, since it uses less digits than its factorization.

404110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11565 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 404110120 is about 20102.4903929837. The cubic root of 404110120 is about 739.3213402893.

Adding to 404110120 its reverse (21011404), we get a palindrome (425121524).

It can be divided in two parts, 4041 and 10120, that added together give a square (14161 = 119²).

The spelling of 404110120 in words is "four hundred four million, one hundred ten thousand, one hundred twenty".