468945 has 24 divisors (see below), whose sum is σ = 862056. Its totient is φ = 235008.

The previous prime is 468913. The next prime is 468953. The reversal of 468945 is 549864.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 463761 = 72^2 + 681^2 .

It is not a de Polignac number, because 468945 - 2⁵ = 468913 is a prime.

It is a Curzon number.

468945 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (35919).

2⁴⁶⁸⁹⁴⁵ is an apocalyptic number.

468945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468945 is a deficient number, since it is larger than the sum of its proper divisors (393111).

468945 is a wasteful number, since it uses less digits than its factorization.

468945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 638 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 468945 is about 684.7955899391. The cubic root of 468945 is about 77.6915828949.

The spelling of 468945 in words is "four hundred sixty-eight thousand, nine hundred forty-five".