1484133680 has 80 divisors (see below), whose sum is σ = 3573580800. Its totient is φ = 572624640.

The previous prime is 1484133653. The next prime is 1484133697. The reversal of 1484133680 is 863314841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1484133680² = 4405305560220684800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 939131 + ... + 940709.

It is an arithmetic number, because the mean of its divisors is an integer number (44669760).

Almost surely, 2^1484133680 is an apocalyptic number.

1484133680 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 1484133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786790400).

1484133680 is an abundant number, since it is smaller than the sum of its proper divisors (2089447120).

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

1484133680 is a wasteful number, since it uses less digits than its factorization.

1484133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 1484133680 is about 38524.4556093918. The cubic root of 1484133680 is about 1140.6638382522.

The spelling of 1484133680 in words is "one billion, four hundred eighty-four million, one hundred thirty-three thousand, six hundred eighty".