482112000 has 480 divisors, whose sum is σ = 1858881024. Its totient is φ = 124416000.

The previous prime is 482111963. The next prime is 482112017. The reversal of 482112000 is 211284.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15551985 + ... + 15552015.

Almost surely, 2^482112000 is an apocalyptic number.

482112000 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 482112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929440512).

482112000 is an abundant number, since it is smaller than the sum of its proper divisors (1376769024).

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

482112000 is an frugal number, since it uses more digits than its factorization.

482112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 482112000 is about 21957.0489820467. The cubic root of 482112000 is about 784.1202092505.

Adding to 482112000 its reverse (211284), we get a palindrome (482323284).

The spelling of 482112000 in words is "four hundred eighty-two million, one hundred twelve thousand".