480415409 has 16 divisors (see below), whose sum is σ = 502650624. Its totient is φ = 458784000.

The previous prime is 480415391. The next prime is 480415433. The reversal of 480415409 is 904514084.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-480415409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480415459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451412 + ... + 452474.

It is an arithmetic number, because the mean of its divisors is an integer number (31415664).

Almost surely, 2^480415409 is an apocalyptic number.

It is an amenable number.

480415409 is a deficient number, since it is larger than the sum of its proper divisors (22235215).

480415409 is a wasteful number, since it uses less digits than its factorization.

480415409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 480415409 is about 21918.3806199272. The cubic root of 480415409 is about 783.1993341134.

The spelling of 480415409 in words is "four hundred eighty million, four hundred fifteen thousand, four hundred nine".