480873084 has 48 divisors (see below), whose sum is σ = 1193090976. Its totient is φ = 150220800.

The previous prime is 480873083. The next prime is 480873091. The reversal of 480873084 is 480378084.

It is a super-3 number, since 3×480873084³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480873083) 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, 44274 + ... + 54054.

It is an arithmetic number, because the mean of its divisors is an integer number (24856062).

Almost surely, 2^480873084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480873084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596545488).

480873084 is an abundant number, since it is smaller than the sum of its proper divisors (712217892).

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

480873084 is a wasteful number, since it uses less digits than its factorization.

480873084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 480873084 is about 21928.8185728279. The cubic root of 480873084 is about 783.4479640705.

The spelling of 480873084 in words is "four hundred eighty million, eight hundred seventy-three thousand, eighty-four".