484697600 has 120 divisors (see below), whose sum is σ = 1264714440. Its totient is φ = 183582720.

The previous prime is 484697599. The next prime is 484697611. The reversal of 484697600 is 6796484.

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, 242204 + ... + 244196.

It is an arithmetic number, because the mean of its divisors is an integer number (10539287).

Almost surely, 2^484697600 is an apocalyptic number.

484697600 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 484697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632357220).

484697600 is an abundant number, since it is smaller than the sum of its proper divisors (780016840).

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

484697600 is a wasteful number, since it uses less digits than its factorization.

484697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 484697600 is about 22015.8488366904. The cubic root of 484697600 is about 785.5194744097.

The spelling of 484697600 in words is "four hundred eighty-four million, six hundred ninety-seven thousand, six hundred".