448896739200 has 768 divisors, whose sum is σ = 1844948582400. Its totient is φ = 93401579520.

The previous prime is 448896739153. The next prime is 448896739229. The reversal of 448896739200 is 2937698844.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63769281 + ... + 63776319.

It is an arithmetic number, because the mean of its divisors is an integer number (2402276800).

Almost surely, 2^448896739200 is an apocalyptic number.

448896739200 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 448896739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922474291200).

448896739200 is an abundant number, since it is smaller than the sum of its proper divisors (1396051843200).

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

448896739200 is a wasteful number, since it uses less digits than its factorization.

448896739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 448896739200 in words is "four hundred forty-eight billion, eight hundred ninety-six million, seven hundred thirty-nine thousand, two hundred".