1482888960 has 648 divisors, whose sum is σ = 6215934816. Its totient is φ = 325140480.

The previous prime is 1482888941. The next prime is 1482888973. The reversal of 1482888960 is 698882841.

1482888960 is a `hidden beast` number, since 1 + 482 + 88 + 89 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1482888897 and 1482888906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20885725 + ... + 20885795.

It is an arithmetic number, because the mean of its divisors is an integer number (9592492).

Almost surely, 2^1482888960 is an apocalyptic number.

1482888960 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 1482888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107967408).

1482888960 is an abundant number, since it is smaller than the sum of its proper divisors (4733045856).

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

1482888960 is a wasteful number, since it uses less digits than its factorization.

1482888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 1482888960 is about 38508.2972877275. The cubic root of 1482888960 is about 1140.3448633466.

The spelling of 1482888960 in words is "one billion, four hundred eighty-two million, eight hundred eighty-eight thousand, nine hundred sixty".