484756684800 has 552 divisors, whose sum is σ = 1697585621376. Its totient is φ = 121802588160.

The previous prime is 484756684723. The next prime is 484756684807. The reversal of 484756684800 is 8486657484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (552).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484756684807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7235174367 + ... + 7235174433.

Almost surely, 2^484756684800 is an apocalyptic number.

484756684800 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 484756684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848792810688).

484756684800 is an abundant number, since it is smaller than the sum of its proper divisors (1212828936576).

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

484756684800 is an frugal number, since it uses more digits than its factorization.

484756684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

It can be divided in two parts, 484756684 and 800, that added together give a palindrome (484757484).

The spelling of 484756684800 in words is "four hundred eighty-four billion, seven hundred fifty-six million, six hundred eighty-four thousand, eight hundred".