484084000 has 48 divisors (see below), whose sum is σ = 1189404216. Its totient is φ = 193632000.

The previous prime is 484083997. The next prime is 484084001. The reversal of 484084000 is 480484.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 456078736 = 5292^2 + 21356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 484084000.

It is not an unprimeable number, because it can be changed into a prime (484084001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56511 + ... + 64510.

Almost surely, 2^484084000 is an apocalyptic number.

484084000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484084000 is an abundant number, since it is smaller than the sum of its proper divisors (705320216).

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

484084000 is a wasteful number, since it uses less digits than its factorization.

484084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121046 (or 121028 counting only the distinct ones).

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

The square root of 484084000 is about 22001.9090080838. The cubic root of 484084000 is about 785.1878598901.

The spelling of 484084000 in words is "four hundred eighty-four million, eighty-four thousand".