456874049 has 2 divisors, whose sum is σ = 456874050. Its totient is φ = 456874048.

The previous prime is 456874013. The next prime is 456874069. The reversal of 456874049 is 940478654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 450797824 + 6076225 = 21232^2 + 2465^2 .

It is a cyclic number.

It is not a de Polignac number, because 456874049 - 2²⁰ = 455825473 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 456873994 and 456874012.

It is not a weakly prime, because it can be changed into another prime (456874009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228437024 + 228437025.

It is an arithmetic number, because the mean of its divisors is an integer number (228437025).

Almost surely, 2^456874049 is an apocalyptic number.

It is an amenable number.

456874049 is a deficient number, since it is larger than the sum of its proper divisors (1).

456874049 is an equidigital number, since it uses as much as digits as its factorization.

456874049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 456874049 is about 21374.6122537930. The cubic root of 456874049 is about 770.1916928708.

The spelling of 456874049 in words is "four hundred fifty-six million, eight hundred seventy-four thousand, forty-nine".