5484960 has 144 divisors (see below), whose sum is σ = 20226024. Its totient is φ = 1345536.

The previous prime is 5484953. The next prime is 5484979. The reversal of 5484960 is 694845.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 767376 = 2172^2 + 876^2 .

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 a congruent number.

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, 18574 + ... + 18866.

Almost surely, 2^5484960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113012).

5484960 is an abundant number, since it is smaller than the sum of its proper divisors (14741064).

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

5484960 is a wasteful number, since it uses less digits than its factorization.

5484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5484960 is about 2341.9991460289. Note that the first 3 decimals coincide. The cubic root of 5484960 is about 176.3563715820.

The spelling of 5484960 in words is "five million, four hundred eighty-four thousand, nine hundred sixty".