480363084 has 54 divisors (see below), whose sum is σ = 1289907164. Its totient is φ = 150698880.

The previous prime is 480363083. The next prime is 480363127.

480363084 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×480363084³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480363083) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12682 + ... + 33489.

Almost surely, 2^480363084 is an apocalyptic number.

It is an amenable number.

480363084 is an abundant number, since it is smaller than the sum of its proper divisors (809544080).

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

480363084 is a wasteful number, since it uses less digits than its factorization.

480363084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46215 (or 46193 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 480363084 is about 21917.1869545341. The cubic root of 480363084 is about 783.1708987272.

The spelling of 480363084 in words is "four hundred eighty million, three hundred sixty-three thousand, eighty-four".