1006484000 has 48 divisors (see below), whose sum is σ = 2472941016. Its totient is φ = 402592000.

The previous prime is 1006483987. The next prime is 1006484021. The reversal of 1006484000 is 4846001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 119159056 + 887324944 = 10916^2 + 29788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121811 + ... + 129810.

Almost surely, 2^1006484000 is an apocalyptic number.

1006484000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006484000 is an abundant number, since it is smaller than the sum of its proper divisors (1466457016).

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

1006484000 is an equidigital number, since it uses as much as digits as its factorization.

1006484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251646 (or 251628 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1006484000 is about 31725.1319934212. The cubic root of 1006484000 is about 1002.1566787264.

The spelling of 1006484000 in words is "one billion, six million, four hundred eighty-four thousand".