464448 has 56 divisors (see below), whose sum is σ = 1280160. Its totient is φ = 148480.

The previous prime is 464447. The next prime is 464459. The reversal of 464448 is 844464.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (464447) 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 7 ways as a sum of consecutive naturals, for example, 7843 + ... + 7901.

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

2⁴⁶⁴⁴⁴⁸ is an apocalyptic number.

464448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080).

464448 is an abundant number, since it is smaller than the sum of its proper divisors (815712).

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

464448 is a wasteful number, since it uses less digits than its factorization.

464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 464448 is about 681.5042186223. The cubic root of 464448 is about 77.4424407855.

The spelling of 464448 in words is "four hundred sixty-four thousand, four hundred forty-eight".