404126120 has 32 divisors (see below), whose sum is σ = 909916200. Its totient is φ = 161538048.

The previous prime is 404126119. The next prime is 404126161. The reversal of 404126120 is 21621404.

It can be written as a sum of positive squares in 4 ways, for example, as 371795524 + 32330596 = 19282^2 + 5686^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404126092 and 404126101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 78176 + ... + 83184.

Almost surely, 2^404126120 is an apocalyptic number.

404126120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404126120 is an abundant number, since it is smaller than the sum of its proper divisors (505790080).

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

404126120 is a wasteful number, since it uses less digits than its factorization.

404126120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 404126120 is about 20102.8883496875. Note that the first 3 decimals coincide. The cubic root of 404126120 is about 739.3310975186.

Adding to 404126120 its reverse (21621404), we get a palindrome (425747524).

The spelling of 404126120 in words is "four hundred four million, one hundred twenty-six thousand, one hundred twenty".