464324448 has 144 divisors (see below), whose sum is σ = 1441359360. Its totient is φ = 128206080.

The previous prime is 464324447. The next prime is 464324453. The reversal of 464324448 is 844423464.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464324447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645433 + ... + 646151.

It is an arithmetic number, because the mean of its divisors is an integer number (10009440).

Almost surely, 2^464324448 is an apocalyptic number.

464324448 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 464324448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720679680).

464324448 is an abundant number, since it is smaller than the sum of its proper divisors (977034912).

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

464324448 is a wasteful number, since it uses less digits than its factorization.

464324448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 762 counting only the distinct ones).

The product of its digits is 294912, while the sum is 39.

The square root of 464324448 is about 21548.1889726260. The cubic root of 464324448 is about 774.3557312251.

The spelling of 464324448 in words is "four hundred sixty-four million, three hundred twenty-four thousand, four hundred forty-eight".