400332105 has 32 divisors (see below), whose sum is σ = 720729600. Its totient is φ = 210802176.

The previous prime is 400332103. The next prime is 400332131. The reversal of 400332105 is 501233004.

It is not a de Polignac number, because 400332105 - 2¹ = 400332103 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400332103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8104 + ... + 29433.

It is an arithmetic number, because the mean of its divisors is an integer number (22522800).

Almost surely, 2^400332105 is an apocalyptic number.

400332105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400332105 is a deficient number, since it is larger than the sum of its proper divisors (320397495).

400332105 is a wasteful number, since it uses less digits than its factorization.

400332105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37630 (or 37624 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 400332105 is about 20008.3009023755. The cubic root of 400332105 is about 737.0101575335.

Adding to 400332105 its reverse (501233004), we get a palindrome (901565109).

The spelling of 400332105 in words is "four hundred million, three hundred thirty-two thousand, one hundred five".