448683312 has 320 divisors, whose sum is σ = 1579613184. Its totient is φ = 106168320.

The previous prime is 448683307. The next prime is 448683373. The reversal of 448683312 is 213386844.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2324688 + ... + 2324880.

Almost surely, 2^448683312 is an apocalyptic number.

448683312 is a gapful number since it is divisible by the number (42) 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 448683312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789806592).

448683312 is an abundant number, since it is smaller than the sum of its proper divisors (1130929872).

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

448683312 is a wasteful number, since it uses less digits than its factorization.

448683312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 448683312 is about 21182.1460669121. The cubic root of 448683312 is about 765.5613019271.

The spelling of 448683312 in words is "four hundred forty-eight million, six hundred eighty-three thousand, three hundred twelve".