480682169120 has 48 divisors (see below), whose sum is σ = 1136025165240. Its totient is φ = 192202850304.

The previous prime is 480682169081. The next prime is 480682169141. The reversal of 480682169120 is 21961286084.

It can be written as a sum of positive squares in 4 ways, for example, as 431559652624 + 49122516496 = 656932^2 + 221636^2 .

It is a super-3 number, since 3×480682169120³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105155 + ... + 986114.

Almost surely, 2^480682169120 is an apocalyptic number.

480682169120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480682169120 is an abundant number, since it is smaller than the sum of its proper divisors (655342996120).

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

480682169120 is a wasteful number, since it uses less digits than its factorization.

480682169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094037 (or 1094029 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 480682169120 in words is "four hundred eighty billion, six hundred eighty-two million, one hundred sixty-nine thousand, one hundred twenty".