482829984 has 480 divisors, whose sum is σ = 1844156160. Its totient is φ = 120434688.

The previous prime is 482829973. The next prime is 482830001. The reversal of 482829984 is 489928284.

482829984 is a `hidden beast` number, since 482 + 82 + 9 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 482829984.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5425012 + ... + 5425100.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^482829984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482829984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).

482829984 is an abundant number, since it is smaller than the sum of its proper divisors (1361326176).

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

482829984 is a wasteful number, since it uses less digits than its factorization.

482829984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 482829984 is about 21973.3926374604. The cubic root of 482829984 is about 784.5092658185.

The spelling of 482829984 in words is "four hundred eighty-two million, eight hundred twenty-nine thousand, nine hundred eighty-four".