464968 has 48 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 180576.

The previous prime is 464963. The next prime is 464983. The reversal of 464968 is 869464.

464968 = 19³ + 20³ + ... + 37³.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (464963) by changing a digit.

464968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 20205 + ... + 20227.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2⁴⁶⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

464968 is an abundant number, since it is smaller than the sum of its proper divisors (632312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464968 is a wasteful number, since it uses less digits than its factorization.

464968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 464968 is about 681.8856209072. The cubic root of 464968 is about 77.4713317483.

Subtracting 464968 from its reverse (869464), we obtain a square (404496 = 636²).

The spelling of 464968 in words is "four hundred sixty-four thousand, nine hundred sixty-eight".