484512000 has 432 divisors, whose sum is σ = 1890225792. Its totient is φ = 109670400.

The previous prime is 484511999. The next prime is 484512001. The reversal of 484512000 is 215484.

It is an interprime number because it is at equal distance from previous prime (484511999) and next prime (484512001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (484512001) 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, 4703949 + ... + 4704051.

Almost surely, 2^484512000 is an apocalyptic number.

484512000 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 484512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945112896).

484512000 is an abundant number, since it is smaller than the sum of its proper divisors (1405713792).

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

484512000 is a wasteful number, since it uses less digits than its factorization.

484512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 484512000 is about 22011.6332878776. The cubic root of 484512000 is about 785.4191981225.

Adding to 484512000 its reverse (215484), we get a palindrome (484727484).

The spelling of 484512000 in words is "four hundred eighty-four million, five hundred twelve thousand".