480516000 has 192 divisors, whose sum is σ = 1643556096. Its totient is φ = 122496000.

The previous prime is 480515969. The next prime is 480516007. The reversal of 480516000 is 615084.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (480516007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275130 + ... + 276870.

It is an arithmetic number, because the mean of its divisors is an integer number (8560188).

Almost surely, 2^480516000 is an apocalyptic number.

480516000 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 480516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821778048).

480516000 is an abundant number, since it is smaller than the sum of its proper divisors (1163040096).

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

480516000 is a wasteful number, since it uses less digits than its factorization.

480516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 480516000 is about 21920.6751720835. The cubic root of 480516000 is about 783.2539932721.

The spelling of 480516000 in words is "four hundred eighty million, five hundred sixteen thousand".