413400321 has 32 divisors (see below), whose sum is σ = 642816000. Its totient is φ = 262074384.

The previous prime is 413400319. The next prime is 413400329. The reversal of 413400321 is 123004314.

413400321 is a `hidden beast` number, since 4 + 1 + 340 + 0 + 321 = 666.

It is not a de Polignac number, because 413400321 - 2¹ = 413400319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413400294 and 413400303.

It is not an unprimeable number, because it can be changed into a prime (413400329) 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, 109300 + ... + 113018.

It is an arithmetic number, because the mean of its divisors is an integer number (20088000).

Almost surely, 2^413400321 is an apocalyptic number.

It is an amenable number.

413400321 is a deficient number, since it is larger than the sum of its proper divisors (229415679).

413400321 is a wasteful number, since it uses less digits than its factorization.

413400321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413400321 is about 20332.2483016512. The cubic root of 413400321 is about 744.9439598704.

Adding to 413400321 its reverse (123004314), we get a palindrome (536404635).

The spelling of 413400321 in words is "four hundred thirteen million, four hundred thousand, three hundred twenty-one".