484133328 has 120 divisors (see below), whose sum is σ = 1616592960. Its totient is φ = 138317760.

The previous prime is 484133311. The next prime is 484133339. The reversal of 484133328 is 823331484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 484133292 and 484133301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9733 + ... + 32603.

It is an arithmetic number, because the mean of its divisors is an integer number (13471608).

Almost surely, 2^484133328 is an apocalyptic number.

484133328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484133328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808296480).

484133328 is an abundant number, since it is smaller than the sum of its proper divisors (1132459632).

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

484133328 is a wasteful number, since it uses less digits than its factorization.

484133328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22883 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 484133328 is about 22003.0299731651. The cubic root of 484133328 is about 785.2145291122.

The spelling of 484133328 in words is "four hundred eighty-four million, one hundred thirty-three thousand, three hundred twenty-eight".