484314984 has 128 divisors (see below), whose sum is σ = 1400832000. Its totient is φ = 154872000.

The previous prime is 484314967. The next prime is 484315031. The reversal of 484314984 is 489413484.

It is a super-2 number, since 2×484314984² = 469122007453840512, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1010857 + ... + 1011335.

It is an arithmetic number, because the mean of its divisors is an integer number (10944000).

Almost surely, 2^484314984 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 484314984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700416000).

484314984 is an abundant number, since it is smaller than the sum of its proper divisors (916517016).

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

484314984 is a wasteful number, since it uses less digits than its factorization.

484314984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 484314984 is about 22007.1575629385. The cubic root of 484314984 is about 785.3127259558.

The spelling of 484314984 in words is "four hundred eighty-four million, three hundred fourteen thousand, nine hundred eighty-four".