482827800 has 384 divisors, whose sum is σ = 1899878400. Its totient is φ = 98703360.

The previous prime is 482827789. The next prime is 482827819. The reversal of 482827800 is 8728284.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2020081 + ... + 2020319.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^482827800 is an apocalyptic number.

482827800 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 482827800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949939200).

482827800 is an abundant number, since it is smaller than the sum of its proper divisors (1417050600).

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

482827800 is a wasteful number, since it uses less digits than its factorization.

482827800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 482827800 is about 21973.3429409364. The cubic root of 482827800 is about 784.5080829516.

The spelling of 482827800 in words is "four hundred eighty-two million, eight hundred twenty-seven thousand, eight hundred".