484393104 has 240 divisors, whose sum is σ = 1598897664. Its totient is φ = 135475200.

The previous prime is 484393099. The next prime is 484393109. The reversal of 484393104 is 401393484.

It is an interprime number because it is at equal distance from previous prime (484393099) and next prime (484393109).

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

It is not an unprimeable number, because it can be changed into a prime (484393109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986299 + ... + 986789.

Almost surely, 2^484393104 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 484393104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799448832).

484393104 is an abundant number, since it is smaller than the sum of its proper divisors (1114504560).

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

484393104 is a wasteful number, since it uses less digits than its factorization.

484393104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 484393104 is about 22008.9323684726. The cubic root of 484393104 is about 785.3549473296.

The spelling of 484393104 in words is "four hundred eighty-four million, three hundred ninety-three thousand, one hundred four".