480668433120 has 384 divisors, whose sum is σ = 1726102224000. Its totient is φ = 124853944320.

The previous prime is 480668433031. The next prime is 480668433149. The reversal of 480668433120 is 21334866084.

480668433120 is a `hidden beast` number, since 480 + 6 + 6 + 8 + 43 + 3 + 120 = 666.

It is a super-3 number, since 3×480668433120³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136203516 + ... + 136207044.

It is an arithmetic number, because the mean of its divisors is an integer number (4495057875).

Almost surely, 2^480668433120 is an apocalyptic number.

480668433120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480668433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863051112000).

480668433120 is an abundant number, since it is smaller than the sum of its proper divisors (1245433790880).

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

480668433120 is a wasteful number, since it uses less digits than its factorization.

480668433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 480668433120 in words is "four hundred eighty billion, six hundred sixty-eight million, four hundred thirty-three thousand, one hundred twenty".