1604367400 has 96 divisors (see below), whose sum is σ = 3801151800. Its totient is φ = 629657600.

The previous prime is 1604367389. The next prime is 1604367421. The reversal of 1604367400 is 47634061.

It can be written as a sum of positive squares in 12 ways, for example, as 72897444 + 1531469956 = 8538^2 + 39134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3079140 + ... + 3079660.

Almost surely, 2^1604367400 is an apocalyptic number.

1604367400 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 1604367400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900575900).

1604367400 is an abundant number, since it is smaller than the sum of its proper divisors (2196784400).

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

1604367400 is a wasteful number, since it uses less digits than its factorization.

1604367400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1604367400 is about 40054.5552964953. Note that the first 3 decimals coincide. The cubic root of 1604367400 is about 1170.6703247211.

The spelling of 1604367400 in words is "one billion, six hundred four million, three hundred sixty-seven thousand, four hundred".