480686976 has 192 divisors, whose sum is σ = 1724860800. Its totient is φ = 124830720.

The previous prime is 480686957. The next prime is 480687029. The reversal of 480686976 is 679686084.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×480686976³ (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 23 ways as a sum of consecutive naturals, for example, 85995 + ... + 91413.

It is an arithmetic number, because the mean of its divisors is an integer number (8983650).

Almost surely, 2^480686976 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 480686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862430400).

480686976 is an abundant number, since it is smaller than the sum of its proper divisors (1244173824).

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

480686976 is a wasteful number, since it uses less digits than its factorization.

480686976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 480686976 is about 21924.5747051112. The cubic root of 480686976 is about 783.3468807475.

The spelling of 480686976 in words is "four hundred eighty million, six hundred eighty-six thousand, nine hundred seventy-six".