1600445600 has 72 divisors (see below), whose sum is σ = 4207660380. Its totient is φ = 590929920.

The previous prime is 1600445557. The next prime is 1600445629. The reversal of 1600445600 is 65440061.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 827827984 + 772617616 = 28772^2 + 27796^2 .

It is a super-2 number, since 2×1600445600² = 5122852237118720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1600445600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66545 + ... + 87344.

Almost surely, 2^1600445600 is an apocalyptic number.

1600445600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1600445600 is an abundant number, since it is smaller than the sum of its proper divisors (2607214780).

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

1600445600 is a wasteful number, since it uses less digits than its factorization.

1600445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153922 (or 153909 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1600445600 is about 40005.5696122427. The cubic root of 1600445600 is about 1169.7156637323.

Adding to 1600445600 its reverse (65440061), we get a palindrome (1665885661).

The spelling of 1600445600 in words is "one billion, six hundred million, four hundred forty-five thousand, six hundred".