484487416800 has 288 divisors, whose sum is σ = 1757220968160. Its totient is φ = 128828620800.

The previous prime is 484487416711. The next prime is 484487416801. The reversal of 484487416800 is 8614784484.

484487416800 is a `hidden beast` number, since 4 + 84 + 487 + 4 + 1 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484487416801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7593030 + ... + 7656570.

It is an arithmetic number, because the mean of its divisors is an integer number (6101461695).

Almost surely, 2^484487416800 is an apocalyptic number.

484487416800 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 484487416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878610484080).

484487416800 is an abundant number, since it is smaller than the sum of its proper divisors (1272733551360).

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

484487416800 is a wasteful number, since it uses less digits than its factorization.

484487416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63923 (or 63904 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 484487416800 in words is "four hundred eighty-four billion, four hundred eighty-seven million, four hundred sixteen thousand, eight hundred".