484128800 has 72 divisors (see below), whose sum is σ = 1187080272. Its totient is φ = 192800000.

The previous prime is 484128781. The next prime is 484128803. The reversal of 484128800 is 8821484.

It is a super-3 number, since 3×484128800³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (484128803) 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 11 ways as a sum of consecutive naturals, for example, 199595 + ... + 202005.

It is an arithmetic number, because the mean of its divisors is an integer number (16487226).

Almost surely, 2^484128800 is an apocalyptic number.

484128800 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 484128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593540136).

484128800 is an abundant number, since it is smaller than the sum of its proper divisors (702951472).

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

484128800 is a wasteful number, since it uses less digits than its factorization.

484128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 484128800 is about 22002.9270780049. The cubic root of 484128800 is about 785.2120811210.

It can be divided in two parts, 484128 and 800, that multiplied together give a square (387302400 = 19680²).

The spelling of 484128800 in words is "four hundred eighty-four million, one hundred twenty-eight thousand, eight hundred".