484642400 has 72 divisors (see below), whose sum is σ = 1290714264. Its totient is φ = 176230400.

The previous prime is 484642393. The next prime is 484642421. The reversal of 484642400 is 4246484.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 18737 + ... + 36336.

It is an arithmetic number, because the mean of its divisors is an integer number (17926587).

Almost surely, 2^484642400 is an apocalyptic number.

484642400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484642400 is an abundant number, since it is smaller than the sum of its proper divisors (806071864).

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

484642400 is a wasteful number, since it uses less digits than its factorization.

484642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55104 (or 55091 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 484642400 is about 22014.5951586669. The cubic root of 484642400 is about 785.4896535337.

Adding to 484642400 its reverse (4246484), we get a palindrome (488888884).

The spelling of 484642400 in words is "four hundred eighty-four million, six hundred forty-two thousand, four hundred".