1604158480 has 40 divisors (see below), whose sum is σ = 3790822104. Its totient is φ = 631142400.

The previous prime is 1604158477. The next prime is 1604158487. The reversal of 1604158480 is 848514061.

It can be written as a sum of positive squares in 4 ways, for example, as 5438224 + 1598720256 = 2332^2 + 39984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1604158487) 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, 159481 + ... + 169240.

Almost surely, 2^1604158480 is an apocalyptic number.

1604158480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1604158480 is an abundant number, since it is smaller than the sum of its proper divisors (2186663624).

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

1604158480 is a wasteful number, since it uses less digits than its factorization.

1604158480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328795 (or 328789 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 1604158480 is about 40051.9472685162. The cubic root of 1604158480 is about 1170.6195077945.

The spelling of 1604158480 in words is "one billion, six hundred four million, one hundred fifty-eight thousand, four hundred eighty".