1606406400 has 243 divisors, whose sum is σ = 5777862181. Its totient is φ = 425809920.

The previous prime is 1606406383. The next prime is 1606406419. The reversal of 1606406400 is 46046061.

The square root of 1606406400 is 40080.

It is a perfect power (a square), and thus also a powerful number.

1606406400 is a `hidden beast` number, since 16 + 0 + 6 + 4 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 578306304 + 1028100096 = 24048^2 + 32064^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 9619117 + ... + 9619283.

Almost surely, 2^1606406400 is an apocalyptic number.

1606406400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1606406400 is the 40080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1606406400

1606406400 is an abundant number, since it is smaller than the sum of its proper divisors (4171455781).

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

1606406400 is an equidigital number, since it uses as much as digits as its factorization.

1606406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 1606406400 is about 1171.1660520483.

The spelling of 1606406400 in words is "one billion, six hundred six million, four hundred six thousand, four hundred".