448264960 has 288 divisors, whose sum is σ = 1318625280. Its totient is φ = 143769600.

The previous prime is 448264951. The next prime is 448264979. The reversal of 448264960 is 69462844.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5674201 + ... + 5674279.

It is an arithmetic number, because the mean of its divisors is an integer number (4578560).

Almost surely, 2^448264960 is an apocalyptic number.

448264960 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 448264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

448264960 is an abundant number, since it is smaller than the sum of its proper divisors (870360320).

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

448264960 is a wasteful number, since it uses less digits than its factorization.

448264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 448264960 is about 21172.2686550119. The cubic root of 448264960 is about 765.3232916676.

The spelling of 448264960 in words is "four hundred forty-eight million, two hundred sixty-four thousand, nine hundred sixty".