483387292800 has 576 divisors, whose sum is σ = 1756075449960. Its totient is φ = 126590976000.

The previous prime is 483387292793. The next prime is 483387292813. The reversal of 483387292800 is 8292783384.

483387292800 is a `hidden beast` number, since 4 + 8 + 338 + 7 + 29 + 280 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 41332516416 + 442054776384 = 203304^2 + 664872^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 398504994 + ... + 398506206.

Almost surely, 2^483387292800 is an apocalyptic number.

483387292800 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 483387292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878037724980).

483387292800 is an abundant number, since it is smaller than the sum of its proper divisors (1272688157160).

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

483387292800 is a wasteful number, since it uses less digits than its factorization.

483387292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 483387292800 in words is "four hundred eighty-three billion, three hundred eighty-seven million, two hundred ninety-two thousand, eight hundred".