404124105 has 128 divisors (see below), whose sum is σ = 843448320. Its totient is φ = 160392960.

The previous prime is 404124089. The next prime is 404124121. The reversal of 404124105 is 501421404.

404124105 = T₂₄₀ + T₂₄₁ + ... + T₁₃₄₅.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404124089) and next prime (404124121).

It is not a de Polignac number, because 404124105 - 2⁴ = 404124089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 127 ways as a sum of consecutive naturals, for example, 3923484 + ... + 3923586.

It is an arithmetic number, because the mean of its divisors is an integer number (6589440).

Almost surely, 2^404124105 is an apocalyptic number.

It is an amenable number.

404124105 is an abundant number, since it is smaller than the sum of its proper divisors (439324215).

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

404124105 is a wasteful number, since it uses less digits than its factorization.

404124105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 404124105 is about 20102.8382324487. The cubic root of 404124105 is about 739.3298687317.

Adding to 404124105 its reverse (501421404), we get a palindrome (905545509).

The spelling of 404124105 in words is "four hundred four million, one hundred twenty-four thousand, one hundred five".