456417541 has 2 divisors, whose sum is σ = 456417542. Its totient is φ = 456417540.

The previous prime is 456417499. The next prime is 456417587. The reversal of 456417541 is 145714654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 345030625 + 111386916 = 18575^2 + 10554^2 .

It is a cyclic number.

It is not a de Polignac number, because 456417541 - 2⁷ = 456417413 is a prime.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 456417541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456417041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228208770 + 228208771.

It is an arithmetic number, because the mean of its divisors is an integer number (228208771).

Almost surely, 2^456417541 is an apocalyptic number.

It is an amenable number.

456417541 is a deficient number, since it is larger than the sum of its proper divisors (1).

456417541 is an equidigital number, since it uses as much as digits as its factorization.

456417541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 67200, while the sum is 37.

The square root of 456417541 is about 21363.9308414908. The cubic root of 456417541 is about 769.9350825127.

The spelling of 456417541 in words is "four hundred fifty-six million, four hundred seventeen thousand, five hundred forty-one".