482924214432 has 384 divisors, whose sum is σ = 1565139179520. Its totient is φ = 143636613120.

The previous prime is 482924214431. The next prime is 482924214433. The reversal of 482924214432 is 234412429284.

482924214432 is a `hidden beast` number, since 4 + 82 + 92 + 42 + 1 + 443 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (482924214431) and next prime (482924214433).

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

It is not an unprimeable number, because it can be changed into a prime (482924214431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199307173 + ... + 199309595.

It is an arithmetic number, because the mean of its divisors is an integer number (4075883280).

Almost surely, 2^482924214432 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 482924214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782569589760).

482924214432 is an abundant number, since it is smaller than the sum of its proper divisors (1082214965088).

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

482924214432 is a wasteful number, since it uses less digits than its factorization.

482924214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2819 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 482924214432 in words is "four hundred eighty-two billion, nine hundred twenty-four million, two hundred fourteen thousand, four hundred thirty-two".