484140960 has 144 divisors (see below), whose sum is σ = 1749403656. Its totient is φ = 121503744.

The previous prime is 484140947. The next prime is 484140971. The reversal of 484140960 is 69041484.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 432473616 + 51667344 = 20796^2 + 7188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14592 + ... + 34368.

Almost surely, 2^484140960 is an apocalyptic number.

484140960 is a gapful number since it is divisible by the number (40) 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 484140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874701828).

484140960 is an abundant number, since it is smaller than the sum of its proper divisors (1265262696).

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

484140960 is a wasteful number, since it uses less digits than its factorization.

484140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19815 (or 19804 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 484140960 is about 22003.2034031411. The cubic root of 484140960 is about 785.2186551972.

The spelling of 484140960 in words is "four hundred eighty-four million, one hundred forty thousand, nine hundred sixty".