448422480 has 320 divisors, whose sum is σ = 1713104640. Its totient is φ = 108241920.

The previous prime is 448422437. The next prime is 448422487. The reversal of 448422480 is 84224844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448422487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924444 + ... + 1924676.

It is an arithmetic number, because the mean of its divisors is an integer number (5353452).

Almost surely, 2^448422480 is an apocalyptic number.

448422480 is a gapful number since it is divisible by the number (40) 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 448422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856552320).

448422480 is an abundant number, since it is smaller than the sum of its proper divisors (1264682160).

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

448422480 is a wasteful number, since it uses less digits than its factorization.

448422480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 448422480 is about 21175.9882886254. The cubic root of 448422480 is about 765.4129258629.

It can be divided in two parts, 4 and 48422480, that added together give a palindrome (48422484).

The spelling of 448422480 in words is "four hundred forty-eight million, four hundred twenty-two thousand, four hundred eighty".