482284800 has 216 divisors, whose sum is σ = 1769122880. Its totient is φ = 128563200.

The previous prime is 482284787. The next prime is 482284807. The reversal of 482284800 is 8482284.

482284800 = T₆₁₉₉ + T₆₂₀₀ + ... + T₆₂₂₃.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×482284800² = 465197256622080000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482284807) 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 23 ways as a sum of consecutive naturals, for example, 171405 + ... + 174195.

Almost surely, 2^482284800 is an apocalyptic number.

482284800 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 482284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884561440).

482284800 is an abundant number, since it is smaller than the sum of its proper divisors (1286838080).

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

482284800 is a wasteful number, since it uses less digits than its factorization.

482284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 482284800 is about 21960.9835845301. The cubic root of 482284800 is about 784.2138802834.

The spelling of 482284800 in words is "four hundred eighty-two million, two hundred eighty-four thousand, eight hundred".