1604488320 has 96 divisors (see below), whose sum is σ = 5540518620. Its totient is φ = 427862016.

The previous prime is 1604488289. The next prime is 1604488321. The reversal of 1604488320 is 238844061.

1604488320 is a `hidden beast` number, since 1 + 604 + 48 + 8 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1604483136 + 5184 = 40056^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1604488321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133519 + ... + 145038.

Almost surely, 2^1604488320 is an apocalyptic number.

1604488320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1604488320 is an abundant number, since it is smaller than the sum of its proper divisors (3936030300).

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

1604488320 is a wasteful number, since it uses less digits than its factorization.

1604488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278582 (or 278567 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1604488320 is about 40056.0647093546. The cubic root of 1604488320 is about 1170.6997348382.

The spelling of 1604488320 in words is "one billion, six hundred four million, four hundred eighty-eight thousand, three hundred twenty".