1988445600 has 108 divisors (see below), whose sum is σ = 7011781686. Its totient is φ = 530250240.

The previous prime is 1988445541. The next prime is 1988445607. The reversal of 1988445600 is 65448891.

1988445600 is a `hidden beast` number, since 1 + 9 + 8 + 84 + 4 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1538835984 + 449609616 = 39228^2 + 21204^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1988445607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 130887 + ... + 145286.

Almost surely, 2^1988445600 is an apocalyptic number.

1988445600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1988445600 is an abundant number, since it is smaller than the sum of its proper divisors (5023336086).

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

1988445600 is a wasteful number, since it uses less digits than its factorization.

1988445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276199 (or 276183 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1988445600 is about 44591.9903121626. The cubic root of 1988445600 is about 1257.4900905247.

The spelling of 1988445600 in words is "one billion, nine hundred eighty-eight million, four hundred forty-five thousand, six hundred".