1604909280 has 192 divisors, whose sum is σ = 5468456448. Its totient is φ = 393308160.

The previous prime is 1604909269. The next prime is 1604909297. The reversal of 1604909280 is 829094061.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1940227 + ... + 1941053.

It is an arithmetic number, because the mean of its divisors is an integer number (28481544).

Almost surely, 2^1604909280 is an apocalyptic number.

1604909280 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 1604909280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734228224).

1604909280 is an abundant number, since it is smaller than the sum of its proper divisors (3863547168).

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

1604909280 is a wasteful number, since it uses less digits than its factorization.

1604909280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1604909280 is about 40061.3189997534. The cubic root of 1604909280 is about 1170.8021090471.

The spelling of 1604909280 in words is "one billion, six hundred four million, nine hundred nine thousand, two hundred eighty".