482538672 has 180 divisors, whose sum is σ = 1714004136. Its totient is φ = 125314560.

The previous prime is 482538671. The next prime is 482538673. The reversal of 482538672 is 276835284.

482538672 is a `hidden beast` number, since 48 + 2 + 538 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (482538671) and next prime (482538673).

It is not an unprimeable number, because it can be changed into a prime (482538671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74508 + ... + 80724.

Almost surely, 2^482538672 is an apocalyptic number.

482538672 is a gapful number since it is divisible by the number (42) 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 482538672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857002068).

482538672 is an abundant number, since it is smaller than the sum of its proper divisors (1231465464).

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

482538672 is a wasteful number, since it uses less digits than its factorization.

482538672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6240 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 482538672 is about 21966.7628930619. The cubic root of 482538672 is about 784.3514580682.

The spelling of 482538672 in words is "four hundred eighty-two million, five hundred thirty-eight thousand, six hundred seventy-two".