1457080 has 32 divisors (see below), whose sum is σ = 3330000. Its totient is φ = 573696.

The previous prime is 1457077. The next prime is 1457083. The reversal of 1457080 is 807541.

It is an interprime number because it is at equal distance from previous prime (1457077) and next prime (1457083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457083) 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, 2671 + ... + 3169.

2^1457080 is an apocalyptic number.

1457080 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 1457080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665000).

1457080 is an abundant number, since it is smaller than the sum of its proper divisors (1872920).

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

1457080 is a wasteful number, since it uses less digits than its factorization.

1457080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1457080 is about 1207.0956880049. The cubic root of 1457080 is about 113.3690391149.

It can be divided in two parts, 145 and 7080, that added together give a square (7225 = 85²).

The spelling of 1457080 in words is "one million, four hundred fifty-seven thousand, eighty".