484967400 has 144 divisors (see below), whose sum is σ = 1587398400. Its totient is φ = 122463360.

The previous prime is 484967389. The next prime is 484967429. The reversal of 484967400 is 4769484.

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 35 ways as a sum of consecutive naturals, for example, 215481 + ... + 217719.

It is an arithmetic number, because the mean of its divisors is an integer number (11023600).

Almost surely, 2^484967400 is an apocalyptic number.

484967400 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 484967400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

484967400 is an abundant number, since it is smaller than the sum of its proper divisors (1102431000).

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

484967400 is a wasteful number, since it uses less digits than its factorization.

484967400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 484967400 is about 22021.9753882344. The cubic root of 484967400 is about 785.6651967757.

The spelling of 484967400 in words is "four hundred eighty-four million, nine hundred sixty-seven thousand, four hundred".