1456960 has 56 divisors (see below), whose sum is σ = 3611880. Its totient is φ = 559104.

The previous prime is 1456943. The next prime is 1456963. The reversal of 1456960 is 696541.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 1382976 = 272^2 + 1176^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9202 + ... + 9358.

2^1456960 is an apocalyptic number.

1456960 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 1456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805940).

1456960 is an abundant number, since it is smaller than the sum of its proper divisors (2154920).

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

1456960 is a wasteful number, since it uses less digits than its factorization.

1456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1456960 is about 1207.0459808972. The cubic root of 1456960 is about 113.3659268040.

The spelling of 1456960 in words is "one million, four hundred fifty-six thousand, nine hundred sixty".