5760480 has 96 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 1395200.

The previous prime is 5760437. The next prime is 5760497. The reversal of 5760480 is 840675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4735 + ... + 5825.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 2^5760480 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 5760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

5760480 is an abundant number, since it is smaller than the sum of its proper divisors (14052768).

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

5760480 is a wasteful number, since it uses less digits than its factorization.

5760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5760480 is about 2400.0999979168. The cubic root of 5760480 is about 179.2611690626.

The spelling of 5760480 in words is "five million, seven hundred sixty thousand, four hundred eighty".