480015315 has 160 divisors (see below), whose sum is σ = 1018676736. Its totient is φ = 213995520.

The previous prime is 480015307. The next prime is 480015317. The reversal of 480015315 is 513510084.

It is not a de Polignac number, because 480015315 - 2³ = 480015307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (480015317) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 2774569 + ... + 2774741.

Almost surely, 2^480015315 is an apocalyptic number.

480015315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480015315 is an abundant number, since it is smaller than the sum of its proper divisors (538661421).

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

480015315 is a wasteful number, since it uses less digits than its factorization.

480015315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 480015315 is about 21909.2518128758. The cubic root of 480015315 is about 782.9818553949.

Adding to 480015315 its reverse (513510084), we get a palindrome (993525399).

The spelling of 480015315 in words is "four hundred eighty million, fifteen thousand, three hundred fifteen".