484882200 has 288 divisors, whose sum is σ = 1844256960. Its totient is φ = 117417600.

The previous prime is 484882193. The next prime is 484882201. The reversal of 484882200 is 2288484.

It is a super-2 number, since 2×484882200² = 470221495753680000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484882201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534147 + ... + 535053.

It is an arithmetic number, because the mean of its divisors is an integer number (6403670).

Almost surely, 2^484882200 is an apocalyptic number.

484882200 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 484882200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922128480).

484882200 is an abundant number, since it is smaller than the sum of its proper divisors (1359374760).

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

484882200 is a wasteful number, since it uses less digits than its factorization.

484882200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 484882200 is about 22020.0408718967. The cubic root of 484882200 is about 785.6191850265.

The spelling of 484882200 in words is "four hundred eighty-four million, eight hundred eighty-two thousand, two hundred".