1456560 has 180 divisors, whose sum is σ = 5938608. Its totient is φ = 313344.

The previous prime is 1456547. The next prime is 1456561. The reversal of 1456560 is 656541.

It is a happy number.

1456560 is a `hidden beast` number, since 1 + 4 + 5 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (1456561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85672 + ... + 85688.

2^1456560 is an apocalyptic number.

1456560 is a gapful number since it is divisible by the number (10) 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 1456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969304).

1456560 is an abundant number, since it is smaller than the sum of its proper divisors (4482048).

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

1456560 is a wasteful number, since it uses less digits than its factorization.

1456560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1456560 is about 1206.8802757523. The cubic root of 1456560 is about 113.3555511997.

It can be divided in two parts, 1456 and 560, that added together give a triangular number (2016 = T₆₃).

The spelling of 1456560 in words is "one million, four hundred fifty-six thousand, five hundred sixty".