401035905 has 12 divisors (see below), whose sum is σ = 695128980. Its totient is φ = 213885792.

The previous prime is 401035897. The next prime is 401035919. The reversal of 401035905 is 509530104.

It can be written as a sum of positive squares in 2 ways, for example, as 91240704 + 309795201 = 9552^2 + 17601^2 .

It is not a de Polignac number, because 401035905 - 2³ = 401035897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4455910 + ... + 4455999.

It is an arithmetic number, because the mean of its divisors is an integer number (57927415).

Almost surely, 2^401035905 is an apocalyptic number.

401035905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401035905 is a deficient number, since it is larger than the sum of its proper divisors (294093075).

401035905 is a wasteful number, since it uses less digits than its factorization.

401035905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8911920 (or 8911917 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 401035905 is about 20025.8808795019. The cubic root of 401035905 is about 737.4418025512.

The spelling of 401035905 in words is "four hundred one million, thirty-five thousand, nine hundred five".