484258320 has 480 divisors, whose sum is σ = 2112364800. Its totient is φ = 96546816.

The previous prime is 484258319. The next prime is 484258349. The reversal of 484258320 is 23852484.

484258320 is a `hidden beast` number, since 4 + 84 + 258 + 320 = 666.

It is a super-2 number, since 2×484258320² = 469012240978444800, which contains 22 as substring.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1244686 + ... + 1245074.

It is an arithmetic number, because the mean of its divisors is an integer number (4400760).

Almost surely, 2^484258320 is an apocalyptic number.

484258320 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 484258320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056182400).

484258320 is an abundant number, since it is smaller than the sum of its proper divisors (1628106480).

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

484258320 is a wasteful number, since it uses less digits than its factorization.

484258320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 484258320 is about 22005.8701259459. The cubic root of 484258320 is about 785.2820980261.

The spelling of 484258320 in words is "four hundred eighty-four million, two hundred fifty-eight thousand, three hundred twenty".