481024512 has 120 divisors (see below), whose sum is σ = 1400118720. Its totient is φ = 158976000.

The previous prime is 481024499. The next prime is 481024513. The reversal of 481024512 is 215420184.

481024512 is a `hidden beast` number, since 48 + 102 + 4 + 512 = 666.

It is a super-3 number, since 3×481024512³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (481024513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640137 + ... + 640887.

It is an arithmetic number, because the mean of its divisors is an integer number (11667656).

Almost surely, 2^481024512 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 481024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700059360).

481024512 is an abundant number, since it is smaller than the sum of its proper divisors (919094208).

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

481024512 is a wasteful number, since it uses less digits than its factorization.

481024512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 481024512 is about 21932.2710178404. The cubic root of 481024512 is about 783.5301919400.

Adding to 481024512 its reverse (215420184), we get a palindrome (696444696).

The spelling of 481024512 in words is "four hundred eighty-one million, twenty-four thousand, five hundred twelve".