464000441 has 2 divisors, whose sum is σ = 464000442. Its totient is φ = 464000440.

The previous prime is 464000429. The next prime is 464000443. The reversal of 464000441 is 144000464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259081216 + 204919225 = 16096^2 + 14315^2 .

It is a cyclic number.

It is not a de Polignac number, because 464000441 - 2¹⁴ = 463984057 is a prime.

Together with 464000443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (464000443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232000220 + 232000221.

It is an arithmetic number, because the mean of its divisors is an integer number (232000221).

Almost surely, 2^464000441 is an apocalyptic number.

It is an amenable number.

464000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

464000441 is an equidigital number, since it uses as much as digits as its factorization.

464000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 464000441 is about 21540.6694649911. The cubic root of 464000441 is about 774.1755733922.

Adding to 464000441 its sum of digits (23), we get a palindrome (464000464).

The spelling of 464000441 in words is "four hundred sixty-four million, four hundred forty-one", and thus it is an aban number.