456894401 has 2 divisors, whose sum is σ = 456894402. Its totient is φ = 456894400.

The previous prime is 456894377. The next prime is 456894409. The reversal of 456894401 is 104498654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310605376 + 146289025 = 17624^2 + 12095^2 .

It is a cyclic number.

It is not a de Polignac number, because 456894401 - 2¹⁴ = 456878017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (456894409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228447200 + 228447201.

It is an arithmetic number, because the mean of its divisors is an integer number (228447201).

Almost surely, 2^456894401 is an apocalyptic number.

It is an amenable number.

456894401 is a deficient number, since it is larger than the sum of its proper divisors (1).

456894401 is an equidigital number, since it uses as much as digits as its factorization.

456894401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 456894401 is about 21375.0883273029. The cubic root of 456894401 is about 770.2031290705.

The spelling of 456894401 in words is "four hundred fifty-six million, eight hundred ninety-four thousand, four hundred one".