480835215 has 48 divisors (see below), whose sum is σ = 966770688. Its totient is φ = 216520128.

The previous prime is 480835207. The next prime is 480835241. The reversal of 480835215 is 512538084.

It is a happy number.

It is not a de Polignac number, because 480835215 - 2³ = 480835207 is a prime.

It is a super-3 number, since 3×480835215³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480835215.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9714 + ... + 32496.

It is an arithmetic number, because the mean of its divisors is an integer number (20141056).

Almost surely, 2^480835215 is an apocalyptic number.

480835215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480835215 is an abundant number, since it is smaller than the sum of its proper divisors (485935473).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480835215 is a wasteful number, since it uses less digits than its factorization.

480835215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22868 (or 22865 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 480835215 is about 21927.9551030186. The cubic root of 480835215 is about 783.4273978887.

The spelling of 480835215 in words is "four hundred eighty million, eight hundred thirty-five thousand, two hundred fifteen".