448899252480 has 720 divisors, whose sum is σ = 1842844760064. Its totient is φ = 102206914560.

The previous prime is 448899252433. The next prime is 448899252497. The reversal of 448899252480 is 84252998844.

448899252480 is a `hidden beast` number, since 4 + 48 + 8 + 99 + 25 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212646625 + ... + 212648735.

Almost surely, 2^448899252480 is an apocalyptic number.

448899252480 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 448899252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921422380032).

448899252480 is an abundant number, since it is smaller than the sum of its proper divisors (1393945507584).

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

448899252480 is a wasteful number, since it uses less digits than its factorization.

448899252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 448899252480 in words is "four hundred forty-eight billion, eight hundred ninety-nine million, two hundred fifty-two thousand, four hundred eighty".