480791815 has 32 divisors (see below), whose sum is σ = 681601536. Its totient is φ = 318729600.

The previous prime is 480791723. The next prime is 480791819. The reversal of 480791815 is 518197084.

It is a happy number.

It is not a de Polignac number, because 480791815 - 2¹³ = 480783623 is a prime.

It is a super-3 number, since 3×480791815³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480791819) 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 31 ways as a sum of consecutive naturals, for example, 150424 + ... + 153586.

It is an arithmetic number, because the mean of its divisors is an integer number (21300048).

Almost surely, 2^480791815 is an apocalyptic number.

480791815 is a deficient number, since it is larger than the sum of its proper divisors (200809721).

480791815 is a wasteful number, since it uses less digits than its factorization.

480791815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319.

The product of its (nonzero) digits is 80640, while the sum is 43.

The square root of 480791815 is about 21926.9654763262. The cubic root of 480791815 is about 783.4038265618.

It can be divided in two parts, 48079 and 1815, that added together give a palindrome (49894).

The spelling of 480791815 in words is "four hundred eighty million, seven hundred ninety-one thousand, eight hundred fifteen".