1983225600 has 432 divisors, whose sum is σ = 7603680000. Its totient is φ = 504852480.

The previous prime is 1983225599. The next prime is 1983225613. The reversal of 1983225600 is 65223891.

1983225600 is a `hidden beast` number, since 1 + 98 + 3 + 2 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3974151 + ... + 3974649.

Almost surely, 2^1983225600 is an apocalyptic number.

1983225600 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 1983225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801840000).

1983225600 is an abundant number, since it is smaller than the sum of its proper divisors (5620454400).

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

1983225600 is a wasteful number, since it uses less digits than its factorization.

1983225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1983225600 is about 44533.4211575980. The cubic root of 1983225600 is about 1256.3887527740.

The spelling of 1983225600 in words is "one billion, nine hundred eighty-three million, two hundred twenty-five thousand, six hundred".