1604318400 has 210 divisors, whose sum is σ = 5897547260. Its totient is φ = 427783680.

The previous prime is 1604318393. The next prime is 1604318411. The reversal of 1604318400 is 48134061.

1604318400 is a `hidden beast` number, since 1 + 604 + 3 + 18 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 123411 + ... + 135789.

Almost surely, 2^1604318400 is an apocalyptic number.

1604318400 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 1604318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948773630).

1604318400 is an abundant number, since it is smaller than the sum of its proper divisors (4293228860).

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

1604318400 is a wasteful number, since it uses less digits than its factorization.

1604318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12413 (or 12389 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1604318400 is about 40053.9436260651. The cubic root of 1604318400 is about 1170.6584065387.

It can be divided in two parts, 16043 and 18400, that added together give a palindrome (34443).

The spelling of 1604318400 in words is "one billion, six hundred four million, three hundred eighteen thousand, four hundred".