1604768256 has 480 divisors, whose sum is σ = 5898372480. Its totient is φ = 408748032.

The previous prime is 1604768251. The next prime is 1604768281. The reversal of 1604768256 is 6528674061.

It is not an unprimeable number, because it can be changed into a prime (1604768251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18031060 + ... + 18031148.

It is an arithmetic number, because the mean of its divisors is an integer number (12288276).

Almost surely, 2^1604768256 is an apocalyptic number.

1604768256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949186240).

1604768256 is an abundant number, since it is smaller than the sum of its proper divisors (4293604224).

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

1604768256 is a wasteful number, since it uses less digits than its factorization.

1604768256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1604768256 is about 40059.5588592785. The cubic root of 1604768256 is about 1170.7678150977.

The spelling of 1604768256 in words is "one billion, six hundred four million, seven hundred sixty-eight thousand, two hundred fifty-six".