484124320 has 96 divisors (see below), whose sum is σ = 1170907920. Its totient is φ = 189112320.

The previous prime is 484124297. The next prime is 484124327. The reversal of 484124320 is 23421484.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 185940496 + 298183824 = 13636^2 + 17268^2 .

It is not an unprimeable number, because it can be changed into a prime (484124327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113966 + ... + 2114194.

Almost surely, 2^484124320 is an apocalyptic number.

484124320 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 484124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585453960).

484124320 is an abundant number, since it is smaller than the sum of its proper divisors (686783600).

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

484124320 is a wasteful number, since it uses less digits than its factorization.

484124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 484124320 is about 22002.8252731325. The cubic root of 484124320 is about 785.2096590651.

It can be divided in two parts, 4841 and 24320, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 484124320 in words is "four hundred eighty-four million, one hundred twenty-four thousand, three hundred twenty".