505484701200 has 240 divisors, whose sum is σ = 1805800492800. Its totient is φ = 134297740800.

The previous prime is 505484701157. The next prime is 505484701217. The reversal of 505484701200 is 2107484505.

505484701200 is a `hidden beast` number, since 50 + 5 + 484 + 7 + 0 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2840446 + ... + 3013154.

It is an arithmetic number, because the mean of its divisors is an integer number (7524168720).

Almost surely, 2^505484701200 is an apocalyptic number.

505484701200 is a gapful number since it is divisible by the number (50) 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 505484701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902900246400).

505484701200 is an abundant number, since it is smaller than the sum of its proper divisors (1300315791600).

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

505484701200 is a wasteful number, since it uses less digits than its factorization.

505484701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173007 (or 172990 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 505484701200 in words is "five hundred five billion, four hundred eighty-four million, seven hundred one thousand, two hundred".