1605330400 has 144 divisors (see below), whose sum is σ = 4252227840. Its totient is φ = 589414400.

The previous prime is 1605330367. The next prime is 1605330421. The reversal of 1605330400 is 40335061.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 556161 + ... + 559039.

It is an arithmetic number, because the mean of its divisors is an integer number (29529360).

Almost surely, 2^1605330400 is an apocalyptic number.

1605330400 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 1605330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126113920).

1605330400 is an abundant number, since it is smaller than the sum of its proper divisors (2646897440).

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

1605330400 is a wasteful number, since it uses less digits than its factorization.

1605330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1605330400 is about 40066.5745977866. The cubic root of 1605330400 is about 1170.9045042567.

Adding to 1605330400 its reverse (40335061), we get a palindrome (1645665461).

The spelling of 1605330400 in words is "one billion, six hundred five million, three hundred thirty thousand, four hundred".