483069600 has 324 divisors, whose sum is σ = 1849182426. Its totient is φ = 118609920.

The previous prime is 483069599. The next prime is 483069607. The reversal of 483069600 is 6960384.

483069600 is a `hidden beast` number, since 48 + 3 + 0 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1354896 + 481714704 = 1164^2 + 21948^2 .

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

It is not an unprimeable number, because it can be changed into a prime (483069607) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 1216602 + ... + 1216998.

Almost surely, 2^483069600 is an apocalyptic number.

483069600 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 483069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924591213).

483069600 is an abundant number, since it is smaller than the sum of its proper divisors (1366112826).

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

483069600 is a wasteful number, since it uses less digits than its factorization.

483069600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 483069600 is about 21978.8443736244. The cubic root of 483069600 is about 784.6390215575.

The spelling of 483069600 in words is "four hundred eighty-three million, sixty-nine thousand, six hundred".