414400321 has 4 divisors (see below), whose sum is σ = 414476932. Its totient is φ = 414323712.

The previous prime is 414400309. The next prime is 414400351. The reversal of 414400321 is 123004414.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 259049025 + 155351296 = 16095^2 + 12464^2 .

It is a cyclic number.

It is not a de Polignac number, because 414400321 - 2⁵ = 414400289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414400351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29520 + ... + 41233.

It is an arithmetic number, because the mean of its divisors is an integer number (103619233).

Almost surely, 2^414400321 is an apocalyptic number.

It is an amenable number.

414400321 is a deficient number, since it is larger than the sum of its proper divisors (76611).

414400321 is an equidigital number, since it uses as much as digits as its factorization.

414400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76610.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 414400321 is about 20356.8249243343. The cubic root of 414400321 is about 745.5441401025.

Adding to 414400321 its reverse (123004414), we get a palindrome (537404735).

The spelling of 414400321 in words is "four hundred fourteen million, four hundred thousand, three hundred twenty-one".