482684400 has 480 divisors, whose sum is σ = 1992729600. Its totient is φ = 109670400.

The previous prime is 482684393. The next prime is 482684413. The reversal of 482684400 is 4486284.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2019481 + ... + 2019719.

It is an arithmetic number, because the mean of its divisors is an integer number (4151520).

Almost surely, 2^482684400 is an apocalyptic number.

482684400 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 482684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996364800).

482684400 is an abundant number, since it is smaller than the sum of its proper divisors (1510045200).

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

482684400 is a wasteful number, since it uses less digits than its factorization.

482684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 482684400 is about 21970.0796539293. The cubic root of 482684400 is about 784.4304088835.

The spelling of 482684400 in words is "four hundred eighty-two million, six hundred eighty-four thousand, four hundred".