456405311 has 6 divisors (see below), whose sum is σ = 467268120. Its totient is φ = 445789428.

The previous prime is 456405263. The next prime is 456405319. The reversal of 456405311 is 113504654.

It is a happy number.

It is not a de Polignac number, because 456405311 - 2⁶ = 456405247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456405319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121571 + ... + 125268.

It is an arithmetic number, because the mean of its divisors is an integer number (77878020).

Almost surely, 2^456405311 is an apocalyptic number.

456405311 is a deficient number, since it is larger than the sum of its proper divisors (10862809).

456405311 is an equidigital number, since it uses as much as digits as its factorization.

456405311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246925 (or 246882 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 456405311 is about 21363.6446094762. The cubic root of 456405311 is about 769.9282054835.

Adding to 456405311 its reverse (113504654), we get a palindrome (569909965).

The spelling of 456405311 in words is "four hundred fifty-six million, four hundred five thousand, three hundred eleven".