384884000 has 48 divisors (see below), whose sum is σ = 945669816. Its totient is φ = 153952000.

The previous prime is 384883997. The next prime is 384884023. The reversal of 384884000 is 488483.

It can be written as a sum of positive squares in 4 ways, for example, as 247244176 + 137639824 = 15724^2 + 11732^2 .

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, 44111 + ... + 52110.

Almost surely, 2^384884000 is an apocalyptic number.

It is an amenable number.

384884000 is an abundant number, since it is smaller than the sum of its proper divisors (560785816).

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

384884000 is an equidigital number, since it uses as much as digits as its factorization.

384884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96246 (or 96228 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 384884000 is about 19618.4606939484. The cubic root of 384884000 is about 727.4055647507.

The spelling of 384884000 in words is "three hundred eighty-four million, eight hundred eighty-four thousand".