448430760 has 192 divisors, whose sum is σ = 1576972800. Its totient is φ = 110082048.

The previous prime is 448430711. The next prime is 448430783. The reversal of 448430760 is 67034844.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 286861 + ... + 288419.

It is an arithmetic number, because the mean of its divisors is an integer number (8213400).

Almost surely, 2^448430760 is an apocalyptic number.

448430760 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 448430760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788486400).

448430760 is an abundant number, since it is smaller than the sum of its proper divisors (1128542040).

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

448430760 is a wasteful number, since it uses less digits than its factorization.

448430760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 448430760 is about 21176.1837921756. The cubic root of 448430760 is about 765.4176368815.

The spelling of 448430760 in words is "four hundred forty-eight million, four hundred thirty thousand, seven hundred sixty".