456894829 has 2 divisors, whose sum is σ = 456894830. Its totient is φ = 456894828.

The previous prime is 456894803. The next prime is 456894847. The reversal of 456894829 is 928498654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285677604 + 171217225 = 16902^2 + 13085^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456894829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456894829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456894859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228447414 + 228447415.

It is an arithmetic number, because the mean of its divisors is an integer number (228447415).

Almost surely, 2^456894829 is an apocalyptic number.

It is an amenable number.

456894829 is a deficient number, since it is larger than the sum of its proper divisors (1).

456894829 is an equidigital number, since it uses as much as digits as its factorization.

456894829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4976640, while the sum is 55.

The square root of 456894829 is about 21375.0983389551. The cubic root of 456894829 is about 770.2033695687.

The spelling of 456894829 in words is "four hundred fifty-six million, eight hundred ninety-four thousand, eight hundred twenty-nine".