480707084 has 96 divisors (see below), whose sum is σ = 1049932800. Its totient is φ = 189446400.

The previous prime is 480707069. The next prime is 480707089.

480707084 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×480707084³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480707089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802217 + ... + 802815.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 2^480707084 is an apocalyptic number.

480707084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480707084 is an abundant number, since it is smaller than the sum of its proper divisors (569225716).

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

480707084 is a wasteful number, since it uses less digits than its factorization.

480707084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 480707084 is about 21925.0332724947. The cubic root of 480707084 is about 783.3578035311.

The spelling of 480707084 in words is "four hundred eighty million, seven hundred seven thousand, eighty-four".