1457505 has 36 divisors (see below), whose sum is σ = 2943252. Its totient is φ = 665280.

The previous prime is 1457503. The next prime is 1457513. The reversal of 1457505 is 5057541.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 603729 = 924^2 + 777^2 .

It is not a de Polignac number, because 1457505 - 2¹ = 1457503 is a prime.

1457505 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1457501) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1875 + ... + 2535.

It is an arithmetic number, because the mean of its divisors is an integer number (81757).

2^1457505 is an apocalyptic number.

1457505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1457505 is an abundant number, since it is smaller than the sum of its proper divisors (1485747).

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

1457505 is a wasteful number, since it uses less digits than its factorization.

1457505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 1457505 is about 1207.2717175516. The cubic root of 1457505 is about 113.3800605088.

The spelling of 1457505 in words is "one million, four hundred fifty-seven thousand, five hundred five".