481017312 has 96 divisors (see below), whose sum is σ = 1485540000. Its totient is φ = 150902784.

The previous prime is 481017311. The next prime is 481017343. The reversal of 481017312 is 213710184.

481017312 is a `hidden beast` number, since 481 + 0 + 173 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×481017312³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481017311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687 + ... + 31062.

It is an arithmetic number, because the mean of its divisors is an integer number (15474375).

Almost surely, 2^481017312 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 481017312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742770000).

481017312 is an abundant number, since it is smaller than the sum of its proper divisors (1004522688).

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

481017312 is a wasteful number, since it uses less digits than its factorization.

481017312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32785 (or 32771 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 481017312 is about 21932.1068755375. The cubic root of 481017312 is about 783.5262826135.

Adding to 481017312 its reverse (213710184), we get a palindrome (694727496).

It can be divided in two parts, 4810 and 17312, that added together give a palindrome (22122).

The spelling of 481017312 in words is "four hundred eighty-one million, seventeen thousand, three hundred twelve".