1456680 has 64 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 380160.

The previous prime is 1456667. The next prime is 1456687. The reversal of 1456680 is 866541.

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

It is not an unprimeable number, because it can be changed into a prime (1456687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7221 + ... + 7419.

It is an arithmetic number, because the mean of its divisors is an integer number (69750).

2^1456680 is an apocalyptic number.

1456680 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 1456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

1456680 is an abundant number, since it is smaller than the sum of its proper divisors (3007320).

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

1456680 is a wasteful number, since it uses less digits than its factorization.

1456680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1456680 is about 1206.9299896846. The cubic root of 1456680 is about 113.3586640804.

The spelling of 1456680 in words is "one million, four hundred fifty-six thousand, six hundred eighty".