456049 has 6 divisors (see below), whose sum is σ = 501410. Its totient is φ = 414480.

The previous prime is 456047. The next prime is 456061. The reversal of 456049 is 940654.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 20449 = 660^2 + 143^2 .

It is not a de Polignac number, because 456049 - 2¹ = 456047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1764 + ... + 2005.

2⁴⁵⁶⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

456049 is a deficient number, since it is larger than the sum of its proper divisors (45361).

456049 is a wasteful number, since it uses less digits than its factorization.

456049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 456049 is about 675.3140010395. The cubic root of 456049 is about 76.9727794940.

The spelling of 456049 in words is "four hundred fifty-six thousand, forty-nine".