457660449 has 15 divisors (see below), whose sum is σ = 683953347. Its totient is φ = 304978608.

The previous prime is 457660403. The next prime is 457660493. The reversal of 457660449 is 944066754.

The square root of 457660449 is 21393.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 181037025 + 276623424 = 13455^2 + 16632^2 .

It is not a de Polignac number, because 457660449 - 2¹¹ = 457658401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457660499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 191349 + ... + 193725.

Almost surely, 2^457660449 is an apocalyptic number.

457660449 is the 21393-rd square number.

457660449 is the 10697-th centered octagonal number.

It is an amenable number.

457660449 is a deficient number, since it is larger than the sum of its proper divisors (226292898).

457660449 is an frugal number, since it uses more digits than its factorization.

457660449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The cubic root of 457660449 is about 770.6333401694.

It can be divided in two parts, 4576 and 60449, that added together give a square (65025 = 255²).

The spelling of 457660449 in words is "four hundred fifty-seven million, six hundred sixty thousand, four hundred forty-nine".