480823064 has 16 divisors (see below), whose sum is σ = 904392000. Its totient is φ = 239651872.

The previous prime is 480823003. The next prime is 480823111. The reversal of 480823064 is 460328084.

It is a super-3 number, since 3×480823064³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 92264 + ... + 97335.

It is an arithmetic number, because the mean of its divisors is an integer number (56524500).

Almost surely, 2^480823064 is an apocalyptic number.

It is an amenable number.

480823064 is a deficient number, since it is larger than the sum of its proper divisors (423568936).

480823064 is a wasteful number, since it uses less digits than its factorization.

480823064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189922 (or 189918 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 480823064 is about 21927.6780348490. The cubic root of 480823064 is about 783.4207986033.

It can be divided in two parts, 4808 and 23064, that added together give a palindrome (27872).

The spelling of 480823064 in words is "four hundred eighty million, eight hundred twenty-three thousand, sixty-four".