448035325920 has 960 divisors, whose sum is σ = 1986053731200. Its totient is φ = 94518337536.

The previous prime is 448035325901. The next prime is 448035325937. The reversal of 448035325920 is 29523530844.

448035325920 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 3 + 53 + 2 + 592 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 57784764 + ... + 57792516.

It is an arithmetic number, because the mean of its divisors is an integer number (2068805970).

Almost surely, 2^448035325920 is an apocalyptic number.

448035325920 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 448035325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993026865600).

448035325920 is an abundant number, since it is smaller than the sum of its proper divisors (1538018405280).

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

448035325920 is a wasteful number, since it uses less digits than its factorization.

448035325920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 448035325920 in words is "four hundred forty-eight billion, thirty-five million, three hundred twenty-five thousand, nine hundred twenty".