480669573120 has 224 divisors, whose sum is σ = 1677876085440. Its totient is φ = 116525629440.

The previous prime is 480669573079. The next prime is 480669573161. The reversal of 480669573120 is 21375966084.

It is an interprime number because it is at equal distance from previous prime (480669573079) and next prime (480669573161).

It is a super-3 number, since 3×480669573120³ (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 15 ways as a sum of consecutive naturals, for example, 1173876 + ... + 1529484.

It is a 1-persistent number, because it is pandigital, but 2⋅480669573120 = 961339146240 is not.

Almost surely, 2^480669573120 is an apocalyptic number.

480669573120 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 480669573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838938042720).

480669573120 is an abundant number, since it is smaller than the sum of its proper divisors (1197206512320).

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

480669573120 is a wasteful number, since it uses less digits than its factorization.

480669573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355654 (or 355630 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 480669573120 in words is "four hundred eighty billion, six hundred sixty-nine million, five hundred seventy-three thousand, one hundred twenty".