482024449800 has 768 divisors, whose sum is σ = 1832796979200. Its totient is φ = 115908710400.

The previous prime is 482024449771. The next prime is 482024449801. The reversal of 482024449800 is 8944420284.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (482024449801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304499809 + ... + 304501391.

It is an arithmetic number, because the mean of its divisors is an integer number (2386454400).

Almost surely, 2^482024449800 is an apocalyptic number.

482024449800 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 482024449800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916398489600).

482024449800 is an abundant number, since it is smaller than the sum of its proper divisors (1350772529400).

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

482024449800 is a wasteful number, since it uses less digits than its factorization.

482024449800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 482024449800 in words is "four hundred eighty-two billion, twenty-four million, four hundred forty-nine thousand, eight hundred".