484193120 has 48 divisors (see below), whose sum is σ = 1150819488. Its totient is φ = 192506880.

The previous prime is 484193113. The next prime is 484193147. The reversal of 484193120 is 21391484.

It is a happy number.

484193120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17660 + ... + 35780.

It is an arithmetic number, because the mean of its divisors is an integer number (23975406).

Almost surely, 2^484193120 is an apocalyptic number.

484193120 is a gapful number since it is divisible by the number (40) 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 484193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575409744).

484193120 is an abundant number, since it is smaller than the sum of its proper divisors (666626368).

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

484193120 is a wasteful number, since it uses less digits than its factorization.

484193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18303 (or 18295 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 484193120 is about 22004.3886531755. The cubic root of 484193120 is about 785.2468532757.

The spelling of 484193120 in words is "four hundred eighty-four million, one hundred ninety-three thousand, one hundred twenty".