484461312 has 72 divisors (see below), whose sum is σ = 1299787776. Its totient is φ = 160183296.

The previous prime is 484461311. The next prime is 484461319. The reversal of 484461312 is 213164484.

It is a super-2 number, since 2×484461312² = 469405525649522688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (484461311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95053 + ... + 100019.

It is an arithmetic number, because the mean of its divisors is an integer number (18052608).

Almost surely, 2^484461312 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 484461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649893888).

484461312 is an abundant number, since it is smaller than the sum of its proper divisors (815326464).

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

484461312 is a wasteful number, since it uses less digits than its factorization.

484461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5099 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 484461312 is about 22010.4818666016. The cubic root of 484461312 is about 785.3918078709.

The spelling of 484461312 in words is "four hundred eighty-four million, four hundred sixty-one thousand, three hundred twelve".