482856480 has 288 divisors, whose sum is σ = 1754887680. Its totient is φ = 120637440.

The previous prime is 482856469. The next prime is 482856487. The reversal of 482856480 is 84658284.

482856480 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (482856487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020201 + ... + 2020439.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^482856480 is an apocalyptic number.

482856480 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 482856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

482856480 is an abundant number, since it is smaller than the sum of its proper divisors (1272031200).

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

482856480 is a wasteful number, since it uses less digits than its factorization.

482856480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 482856480 is about 21973.9955401834. The cubic root of 482856480 is about 784.5236159196.

The spelling of 482856480 in words is "four hundred eighty-two million, eight hundred fifty-six thousand, four hundred eighty".