5760456 has 64 divisors (see below), whose sum is σ = 15960000. Its totient is φ = 1721088.

The previous prime is 5760437. The next prime is 5760497. The reversal of 5760456 is 6540675.

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, 11295 + ... + 11793.

It is an arithmetic number, because the mean of its divisors is an integer number (249375).

Almost surely, 2^5760456 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 5760456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980000).

5760456 is an abundant number, since it is smaller than the sum of its proper divisors (10199544).

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

5760456 is a wasteful number, since it uses less digits than its factorization.

5760456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 5760456 is about 2400.0949981199. The cubic root of 5760456 is about 179.2609201091.

It can be divided in two parts, 5760 and 456, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 5760456 in words is "five million, seven hundred sixty thousand, four hundred fifty-six".