1989564480 has 336 divisors, whose sum is σ = 7293985920. Its totient is φ = 496336896.

The previous prime is 1989564457. The next prime is 1989564487. The reversal of 1989564480 is 844659891.

1989564480 is a `hidden beast` number, since 19 + 8 + 95 + 64 + 480 = 666.

1989564480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1989564487) 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 47 ways as a sum of consecutive naturals, for example, 5635984 + ... + 5636336.

Almost surely, 2^1989564480 is an apocalyptic number.

1989564480 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 1989564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646992960).

1989564480 is an abundant number, since it is smaller than the sum of its proper divisors (5304421440).

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

1989564480 is a wasteful number, since it uses less digits than its factorization.

1989564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1989564480 is about 44604.5342986562. The cubic root of 1989564480 is about 1257.7259056587.

The spelling of 1989564480 in words is "one billion, nine hundred eighty-nine million, five hundred sixty-four thousand, four hundred eighty".