484914816 has 128 divisors (see below), whose sum is σ = 1440566400. Its totient is φ = 160579584.

The previous prime is 484914791. The next prime is 484914823. The reversal of 484914816 is 618419484.

484914816 is a `hidden beast` number, since 4 + 84 + 91 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666645 + ... + 667371.

It is an arithmetic number, because the mean of its divisors is an integer number (11254425).

Almost surely, 2^484914816 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 484914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720283200).

484914816 is an abundant number, since it is smaller than the sum of its proper divisors (955651584).

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

484914816 is a wasteful number, since it uses less digits than its factorization.

484914816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 925 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 484914816 is about 22020.7814575233. The cubic root of 484914816 is about 785.6367997385.

The spelling of 484914816 in words is "four hundred eighty-four million, nine hundred fourteen thousand, eight hundred sixteen".