400032113 has 8 divisors (see below), whose sum is σ = 431081448. Its totient is φ = 369022464.

The previous prime is 400032109. The next prime is 400032133. The reversal of 400032113 is 311230004.

It can be written as a sum of positive squares in 4 ways, for example, as 75203584 + 324828529 = 8672^2 + 18023^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400032113 - 2² = 400032109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400032133) by changing a digit.

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, 12995 + ... + 31127.

It is an arithmetic number, because the mean of its divisors is an integer number (53885181).

Almost surely, 2^400032113 is an apocalyptic number.

It is an amenable number.

400032113 is a deficient number, since it is larger than the sum of its proper divisors (31049335).

400032113 is a wasteful number, since it uses less digits than its factorization.

400032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19843.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 400032113 is about 20000.8028088874. The cubic root of 400032113 is about 736.8260167510.

Adding to 400032113 its reverse (311230004), we get a palindrome (711262117).

The spelling of 400032113 in words is "four hundred million, thirty-two thousand, one hundred thirteen".