1457120 has 48 divisors (see below), whose sum is σ = 3937248. Its totient is φ = 499200.

The previous prime is 1457111. The next prime is 1457143. The reversal of 1457120 is 217541.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1457092 and 1457101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 1770.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

2^1457120 is an apocalyptic number.

1457120 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 1457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968624).

1457120 is an abundant number, since it is smaller than the sum of its proper divisors (2480128).

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

1457120 is a wasteful number, since it uses less digits than its factorization.

1457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 1457120 is about 1207.1122565859. The cubic root of 1457120 is about 113.3700765139.

The spelling of 1457120 in words is "one million, four hundred fifty-seven thousand, one hundred twenty".