1484042960 has 40 divisors (see below), whose sum is σ = 3489185160. Its totient is φ = 586944512.

The previous prime is 1484042947. The next prime is 1484042977. The reversal of 1484042960 is 692404841.

It can be written as a sum of positive squares in 4 ways, for example, as 53993104 + 1430049856 = 7348^2 + 37816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97097 + ... + 111336.

It is an arithmetic number, because the mean of its divisors is an integer number (87229629).

Almost surely, 2^1484042960 is an apocalyptic number.

1484042960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1484042960 is an abundant number, since it is smaller than the sum of its proper divisors (2005142200).

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

1484042960 is a wasteful number, since it uses less digits than its factorization.

1484042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208535 (or 208529 counting only the distinct ones).

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

The square root of 1484042960 is about 38523.2781574985. The cubic root of 1484042960 is about 1140.6405961563.

The spelling of 1484042960 in words is "one billion, four hundred eighty-four million, forty-two thousand, nine hundred sixty".