480844004 has 12 divisors (see below), whose sum is σ = 841736364. Its totient is φ = 240347904.

The previous prime is 480843991. The next prime is 480844027. The reversal of 480844004 is 400448084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 165071104 + 315772900 = 12848^2 + 17770^2 .

It is a super-3 number, since 3×480844004³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2357 + ... + 31100.

It is an arithmetic number, because the mean of its divisors is an integer number (70144697).

Almost surely, 2^480844004 is an apocalyptic number.

It is an amenable number.

480844004 is a deficient number, since it is larger than the sum of its proper divisors (360892360).

480844004 is a wasteful number, since it uses less digits than its factorization.

480844004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37054 (or 37052 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 480844004 is about 21928.1555083869. The cubic root of 480844004 is about 783.4321711812.

The spelling of 480844004 in words is "four hundred eighty million, eight hundred forty-four thousand, four".