480415 has 16 divisors (see below), whose sum is σ = 655200. Its totient is φ = 335232.

The previous prime is 480409. The next prime is 480419. The reversal of 480415 is 514084.

It is a cyclic number.

It is not a de Polignac number, because 480415 - 2⁵ = 480383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480419) 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, 1041 + ... + 1429.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁴⁸⁰⁴¹⁵ is an apocalyptic number.

480415 is a deficient number, since it is larger than the sum of its proper divisors (174785).

480415 is a wasteful number, since it uses less digits than its factorization.

480415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 480415 is about 693.1197587719. The cubic root of 480415 is about 78.3199111855.

Adding to 480415 its reverse (514084), we get a palindrome (994499).

The spelling of 480415 in words is "four hundred eighty thousand, four hundred fifteen".