483724800 has 720 divisors, whose sum is σ = 2077835760. Its totient is φ = 106168320.

The previous prime is 483724793. The next prime is 483724841. The reversal of 483724800 is 8427384.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25459191 + ... + 25459209.

It is an arithmetic number, because the mean of its divisors is an integer number (2885883).

Almost surely, 2^483724800 is an apocalyptic number.

483724800 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 483724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038917880).

483724800 is an abundant number, since it is smaller than the sum of its proper divisors (1594110960).

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

483724800 is a wasteful number, since it uses less digits than its factorization.

483724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 483724800 is about 21993.7445652167. The cubic root of 483724800 is about 784.9936034747.

The spelling of 483724800 in words is "four hundred eighty-three million, seven hundred twenty-four thousand, eight hundred".