448750199520 has 1152 divisors, whose sum is σ = 2005734721536. Its totient is φ = 92318662656.

The previous prime is 448750199501. The next prime is 448750199539. The reversal of 448750199520 is 25991057844.

It is a happy number.

448750199520 is a `hidden beast` number, since 4 + 4 + 87 + 501 + 9 + 9 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (448750199501) and next prime (448750199539).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106412452 + ... + 106416668.

It is an arithmetic number, because the mean of its divisors is an integer number (1741089168).

Almost surely, 2^448750199520 is an apocalyptic number.

448750199520 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 448750199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002867360768).

448750199520 is an abundant number, since it is smaller than the sum of its proper divisors (1556984522016).

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

448750199520 is a wasteful number, since it uses less digits than its factorization.

448750199520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 448750199520 in words is "four hundred forty-eight billion, seven hundred fifty million, one hundred ninety-nine thousand, five hundred twenty".