448270368 has 288 divisors, whose sum is σ = 1529571456. Its totient is φ = 111919104.

The previous prime is 448270367. The next prime is 448270373. The reversal of 448270368 is 863072844.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (448270367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4621296 + ... + 4621392.

It is an arithmetic number, because the mean of its divisors is an integer number (5311012).

Almost surely, 2^448270368 is an apocalyptic number.

448270368 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 448270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764785728).

448270368 is an abundant number, since it is smaller than the sum of its proper divisors (1081301088).

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

448270368 is a wasteful number, since it uses less digits than its factorization.

448270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 448270368 is about 21172.3963688573. The cubic root of 448270368 is about 765.3263693502.

The spelling of 448270368 in words is "four hundred forty-eight million, two hundred seventy thousand, three hundred sixty-eight".