1604428560 has 600 divisors, whose sum is σ = 6732354816. Its totient is φ = 352719360.

The previous prime is 1604428537. The next prime is 1604428621. The reversal of 1604428560 is 658244061.

1604428560 is a `hidden beast` number, since 1 + 604 + 42 + 8 + 5 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9843039 + ... + 9843201.

Almost surely, 2^1604428560 is an apocalyptic number.

1604428560 is a gapful number since it is divisible by the number (10) 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 1604428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366177408).

1604428560 is an abundant number, since it is smaller than the sum of its proper divisors (5127926256).

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

1604428560 is a wasteful number, since it uses less digits than its factorization.

1604428560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1604428560 is about 40055.3187479516. The cubic root of 1604428560 is about 1170.6852002181.

The spelling of 1604428560 in words is "one billion, six hundred four million, four hundred twenty-eight thousand, five hundred sixty".