1980479600 has 360 divisors, whose sum is σ = 5797597680. Its totient is φ = 646553600.

The previous prime is 1980479593. The next prime is 1980479623. The reversal of 1980479600 is 69740891.

1980479600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23861159 + ... + 23861241.

It is an arithmetic number, because the mean of its divisors is an integer number (16104438).

Almost surely, 2^1980479600 is an apocalyptic number.

1980479600 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 1980479600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898798840).

1980479600 is an abundant number, since it is smaller than the sum of its proper divisors (3817118080).

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

1980479600 is a wasteful number, since it uses less digits than its factorization.

1980479600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 1980479600 is about 44502.5797005073. The cubic root of 1980479600 is about 1255.8086141913.

The spelling of 1980479600 in words is "one billion, nine hundred eighty million, four hundred seventy-nine thousand, six hundred".