482356800 has 504 divisors, whose sum is σ = 1891649760. Its totient is φ = 116121600.

The previous prime is 482356729. The next prime is 482356811. The reversal of 482356800 is 8653284.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11217579 + ... + 11217621.

Almost surely, 2^482356800 is an apocalyptic number.

482356800 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 482356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945824880).

482356800 is an abundant number, since it is smaller than the sum of its proper divisors (1409292960).

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

482356800 is a wasteful number, since it uses less digits than its factorization.

482356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 482356800 is about 21962.6227941929. The cubic root of 482356800 is about 784.2529032769.

The spelling of 482356800 in words is "four hundred eighty-two million, three hundred fifty-six thousand, eight hundred".