448847760 has 320 divisors, whose sum is σ = 1558757376. Its totient is φ = 106444800.

The previous prime is 448847759. The next prime is 448847767. The reversal of 448847760 is 67748844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (448847767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7358130 + ... + 7358190.

Almost surely, 2^448847760 is an apocalyptic number.

448847760 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 448847760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779378688).

448847760 is an abundant number, since it is smaller than the sum of its proper divisors (1109909616).

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

448847760 is a wasteful number, since it uses less digits than its factorization.

448847760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 448847760 is about 21186.0274709536. The cubic root of 448847760 is about 765.6548197410.

The spelling of 448847760 in words is "four hundred forty-eight million, eight hundred forty-seven thousand, seven hundred sixty".