456949 has 2 divisors, whose sum is σ = 456950. Its totient is φ = 456948.

The previous prime is 456923. The next prime is 456959. The reversal of 456949 is 949654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 154449 = 550^2 + 393^2 .

It is a cyclic number.

It is not a de Polignac number, because 456949 - 2⁷ = 456821 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456959) 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 as a sum of consecutive naturals, namely, 228474 + 228475.

It is an arithmetic number, because the mean of its divisors is an integer number (228475).

2⁴⁵⁶⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

456949 is a deficient number, since it is larger than the sum of its proper divisors (1).

456949 is an equidigital number, since it uses as much as digits as its factorization.

456949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 37.

The square root of 456949 is about 675.9800292908. The cubic root of 456949 is about 77.0233807673.

It can be divided in two parts, 4 and 56949, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 456949 in words is "four hundred fifty-six thousand, nine hundred forty-nine".