448737408 has 256 divisors, whose sum is σ = 1538976000. Its totient is φ = 127650816.

The previous prime is 448737397. The next prime is 448737409. The reversal of 448737408 is 804737844.

It is a super-2 number, since 2×448737408² = 402730522677116928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448737409) 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 31 ways as a sum of consecutive naturals, for example, 1959438 + ... + 1959666.

It is an arithmetic number, because the mean of its divisors is an integer number (6011625).

Almost surely, 2^448737408 is an apocalyptic number.

448737408 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 448737408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769488000).

448737408 is an abundant number, since it is smaller than the sum of its proper divisors (1090238592).

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

448737408 is an frugal number, since it uses more digits than its factorization.

448737408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 448737408 is about 21183.4229528658. The cubic root of 448737408 is about 765.5920676058.

The spelling of 448737408 in words is "four hundred forty-eight million, seven hundred thirty-seven thousand, four hundred eight".