1457680 has 80 divisors (see below), whose sum is σ = 4106880. Its totient is φ = 470016.

The previous prime is 1457663. The next prime is 1457683. The reversal of 1457680 is 867541.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1457683) 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, 10572 + ... + 10708.

It is an arithmetic number, because the mean of its divisors is an integer number (51336).

2^1457680 is an apocalyptic number.

1457680 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 1457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053440).

1457680 is an abundant number, since it is smaller than the sum of its proper divisors (2649200).

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

1457680 is a wasteful number, since it uses less digits than its factorization.

1457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1457680 is about 1207.3441928464. The cubic root of 1457680 is about 113.3845981071.

The spelling of 1457680 in words is "one million, four hundred fifty-seven thousand, six hundred eighty".