1983552480 has 288 divisors, whose sum is σ = 8331470784. Its totient is φ = 418480128.

The previous prime is 1983552479. The next prime is 1983552491. The reversal of 1983552480 is 842553891.

1983552480 is a `hidden beast` number, since 1 + 98 + 3 + 552 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 123472 + ... + 138608.

It is an arithmetic number, because the mean of its divisors is an integer number (28928718).

Almost surely, 2^1983552480 is an apocalyptic number.

1983552480 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 1983552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165735392).

1983552480 is an abundant number, since it is smaller than the sum of its proper divisors (6347918304).

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

1983552480 is a wasteful number, since it uses less digits than its factorization.

1983552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15178 (or 15167 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1983552480 is about 44537.0910590263. The cubic root of 1983552480 is about 1256.4577759845.

The spelling of 1983552480 in words is "one billion, nine hundred eighty-three million, five hundred fifty-two thousand, four hundred eighty".