410412321 has 48 divisors (see below), whose sum is σ = 673882560. Its totient is φ = 238412160.

The previous prime is 410412313. The next prime is 410412349. The reversal of 410412321 is 123214014.

It is not a de Polignac number, because 410412321 - 2³ = 410412313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 410412294 and 410412303.

It is not an unprimeable number, because it can be changed into a prime (410412361) 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 47 ways as a sum of consecutive naturals, for example, 467535 + ... + 468411.

It is an arithmetic number, because the mean of its divisors is an integer number (14039220).

Almost surely, 2^410412321 is an apocalyptic number.

It is an amenable number.

410412321 is a deficient number, since it is larger than the sum of its proper divisors (263470239).

410412321 is a wasteful number, since it uses less digits than its factorization.

410412321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 410412321 is about 20258.6357141837. The cubic root of 410412321 is about 743.1448345100.

Adding to 410412321 its reverse (123214014), we get a palindrome (533626335).

The spelling of 410412321 in words is "four hundred ten million, four hundred twelve thousand, three hundred twenty-one".