464905 has 16 divisors (see below), whose sum is σ = 656640. Its totient is φ = 309312.

The previous prime is 464897. The next prime is 464909. The reversal of 464905 is 509464.

It is a cyclic number.

It is not a de Polignac number, because 464905 - 2³ = 464897 is a prime.

It is a super-2 number, since 2×464905² = 432273318050, which contains 22 as substring.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (464909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1116 + ... + 1474.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁴⁶⁴⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

464905 is a deficient number, since it is larger than the sum of its proper divisors (191735).

464905 is a wasteful number, since it uses less digits than its factorization.

464905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 464905 is about 681.8394239115. The cubic root of 464905 is about 77.4678326441.

Adding to 464905 its product of nonzero digits (4320), we get a square (469225 = 685²).

It can be divided in two parts, 464 and 905, that added together give a square (1369 = 37²).

The spelling of 464905 in words is "four hundred sixty-four thousand, nine hundred five".