400032321 has 32 divisors (see below), whose sum is σ = 610727040. Its totient is φ = 230728704.

The previous prime is 400032239. The next prime is 400032323. The reversal of 400032321 is 123230004.

It is not a de Polignac number, because 400032321 - 2¹⁸ = 399770177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400032321.

It is not an unprimeable number, because it can be changed into a prime (400032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177226 + ... + 179468.

It is an arithmetic number, because the mean of its divisors is an integer number (19085220).

Almost surely, 2^400032321 is an apocalyptic number.

It is an amenable number.

400032321 is a deficient number, since it is larger than the sum of its proper divisors (210694719).

400032321 is a wasteful number, since it uses less digits than its factorization.

400032321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 400032321 is about 20000.8080086780. The cubic root of 400032321 is about 736.8261444573.

Adding to 400032321 its reverse (123230004), we get a palindrome (523262325).

It can be divided in two parts, 40003 and 2321, that added together give a palindrome (42324).

The spelling of 400032321 in words is "four hundred million, thirty-two thousand, three hundred twenty-one".