448748640 has 192 divisors, whose sum is σ = 1586692800. Its totient is φ = 118444032.

The previous prime is 448748611. The next prime is 448748689. The reversal of 448748640 is 46847844.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 470404 + ... + 471356.

It is an arithmetic number, because the mean of its divisors is an integer number (8264025).

Almost surely, 2^448748640 is an apocalyptic number.

448748640 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 448748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793346400).

448748640 is an abundant number, since it is smaller than the sum of its proper divisors (1137944160).

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

448748640 is a wasteful number, since it uses less digits than its factorization.

448748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 448748640 is about 21183.6880641686. The cubic root of 448748640 is about 765.5984552007.

The spelling of 448748640 in words is "four hundred forty-eight million, seven hundred forty-eight thousand, six hundred forty".