1604934240 has 576 divisors, whose sum is σ = 6587904960. Its totient is φ = 325140480.

The previous prime is 1604934223. The next prime is 1604934259. The reversal of 1604934240 is 424394061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8866950 + ... + 8867130.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2^1604934240 is an apocalyptic number.

1604934240 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 1604934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293952480).

1604934240 is an abundant number, since it is smaller than the sum of its proper divisors (4982970720).

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

1604934240 is a wasteful number, since it uses less digits than its factorization.

1604934240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1604934240 is about 40061.6305209860. The cubic root of 1604934240 is about 1170.8081785635.

The spelling of 1604934240 in words is "one billion, six hundred four million, nine hundred thirty-four thousand, two hundred forty".