480005120 has 176 divisors, whose sum is σ = 1344142080. Its totient is φ = 161071104.

The previous prime is 480005077. The next prime is 480005137. The reversal of 480005120 is 21500084.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 480005092 and 480005101.

It is a congruent number.

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, 2114447 + ... + 2114673.

Almost surely, 2^480005120 is an apocalyptic number.

480005120 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 480005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672071040).

480005120 is an abundant number, since it is smaller than the sum of its proper divisors (864136960).

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

480005120 is a wasteful number, since it uses less digits than its factorization.

480005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 480005120 is about 21909.0191473740. The cubic root of 480005120 is about 782.9763121298.

The spelling of 480005120 in words is "four hundred eighty million, five thousand, one hundred twenty".