1608446400 has 336 divisors, whose sum is σ = 5905122048. Its totient is φ = 379904000.

The previous prime is 1608446369. The next prime is 1608446429. The reversal of 1608446400 is 46448061.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 2164429 + ... + 2165171.

It is an arithmetic number, because the mean of its divisors is an integer number (17574768).

Almost surely, 2^1608446400 is an apocalyptic number.

1608446400 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 1608446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952561024).

1608446400 is an abundant number, since it is smaller than the sum of its proper divisors (4296675648).

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

1608446400 is a wasteful number, since it uses less digits than its factorization.

1608446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1608446400 is about 40105.4410273718. The cubic root of 1608446400 is about 1171.6616028852.

The spelling of 1608446400 in words is "one billion, six hundred eight million, four hundred forty-six thousand, four hundred".