456011 has 6 divisors (see below), whose sum is σ = 467412. Its totient is φ = 444860.

The previous prime is 456007. The next prime is 456013. The reversal of 456011 is 110654.

It is a happy number.

It is not a de Polignac number, because 456011 - 2² = 456007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456013) 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, 3416 + ... + 3546.

It is an arithmetic number, because the mean of its divisors is an integer number (77902).

2⁴⁵⁶⁰¹¹ is an apocalyptic number.

456011 is a deficient number, since it is larger than the sum of its proper divisors (11401).

456011 is an equidigital number, since it uses as much as digits as its factorization.

456011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 456011 is about 675.2858653933. The cubic root of 456011 is about 76.9706415316.

Adding to 456011 its reverse (110654), we get a palindrome (566665).

The spelling of 456011 in words is "four hundred fifty-six thousand, eleven".