484024320 has 336 divisors, whose sum is σ = 1824804072. Its totient is φ = 117964800.

The previous prime is 484024273. The next prime is 484024327. The reversal of 484024320 is 23420484.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 422055936 + 61968384 = 20544^2 + 7872^2 .

It is a super-3 number, since 3×484024320³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (484024327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792270 + ... + 4792370.

Almost surely, 2^484024320 is an apocalyptic number.

484024320 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 484024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912402036).

484024320 is an abundant number, since it is smaller than the sum of its proper divisors (1340779752).

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

484024320 is a wasteful number, since it uses less digits than its factorization.

484024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 484024320 is about 22000.5527203296. The cubic root of 484024320 is about 785.1555914289.

The spelling of 484024320 in words is "four hundred eighty-four million, twenty-four thousand, three hundred twenty".