456409901 has 2 divisors, whose sum is σ = 456409902. Its totient is φ = 456409900.

The previous prime is 456409867. The next prime is 456409913. The reversal of 456409901 is 109904654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249798025 + 206611876 = 15805^2 + 14374^2 .

It is a cyclic number.

It is not a de Polignac number, because 456409901 - 2¹⁴ = 456393517 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456409301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228204950 + 228204951.

It is an arithmetic number, because the mean of its divisors is an integer number (228204951).

Almost surely, 2^456409901 is an apocalyptic number.

It is an amenable number.

456409901 is a deficient number, since it is larger than the sum of its proper divisors (1).

456409901 is an equidigital number, since it uses as much as digits as its factorization.

456409901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 456409901 is about 21363.7520346965. The cubic root of 456409901 is about 769.9307864925.

The spelling of 456409901 in words is "four hundred fifty-six million, four hundred nine thousand, nine hundred one".