404256105 has 48 divisors (see below), whose sum is σ = 783095040. Its totient is φ = 191212800.

The previous prime is 404256077. The next prime is 404256121. The reversal of 404256105 is 501652404.

404256105 is a `hidden beast` number, since 4 + 0 + 42 + 5 + 610 + 5 = 666.

It is not a de Polignac number, because 404256105 - 2¹¹ = 404254057 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 10336 + ... + 30254.

It is an arithmetic number, because the mean of its divisors is an integer number (16314480).

Almost surely, 2^404256105 is an apocalyptic number.

404256105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404256105 is a deficient number, since it is larger than the sum of its proper divisors (378838935).

404256105 is a wasteful number, since it uses less digits than its factorization.

404256105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19982 (or 19979 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 404256105 is about 20106.1210828941. The cubic root of 404256105 is about 739.4103563161.

The spelling of 404256105 in words is "four hundred four million, two hundred fifty-six thousand, one hundred five".