483928800 has 288 divisors, whose sum is σ = 1729576800. Its totient is φ = 116981760.

The previous prime is 483928789. The next prime is 483928807. The reversal of 483928800 is 8829384.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483928807) 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 47 ways as a sum of consecutive naturals, for example, 1182996 + ... + 1183404.

It is an arithmetic number, because the mean of its divisors is an integer number (6005475).

Almost surely, 2^483928800 is an apocalyptic number.

483928800 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 483928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864788400).

483928800 is an abundant number, since it is smaller than the sum of its proper divisors (1245648000).

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

483928800 is a wasteful number, since it uses less digits than its factorization.

483928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 483928800 is about 21998.3817586658. The cubic root of 483928800 is about 785.1039390683.

The spelling of 483928800 in words is "four hundred eighty-three million, nine hundred twenty-eight thousand, eight hundred".