84484000 has 48 divisors (see below), whose sum is σ = 207587016. Its totient is φ = 33792000.

The previous prime is 84483983. The next prime is 84484003. The reversal of 84484000 is 48448.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34527376 + 49956624 = 5876^2 + 7068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84484000.

It is not an unprimeable number, because it can be changed into a prime (84484003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6561 + ... + 14560.

Almost surely, 2^84484000 is an apocalyptic number.

84484000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84484000 is an abundant number, since it is smaller than the sum of its proper divisors (123103016).

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

84484000 is a wasteful number, since it uses less digits than its factorization.

84484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21146 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 84484000 is about 9191.5178289551. The cubic root of 84484000 is about 438.7914493461.

The spelling of 84484000 in words is "eighty-four million, four hundred eighty-four thousand".