448755120 has 480 divisors, whose sum is σ = 1816758720. Its totient is φ = 101376000.

The previous prime is 448755113. The next prime is 448755143. The reversal of 448755120 is 21557844.

448755120 is a `hidden beast` number, since 4 + 4 + 87 + 551 + 20 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4443070 + ... + 4443170.

It is an arithmetic number, because the mean of its divisors is an integer number (3784914).

Almost surely, 2^448755120 is an apocalyptic number.

448755120 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 448755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908379360).

448755120 is an abundant number, since it is smaller than the sum of its proper divisors (1368003600).

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

448755120 is a wasteful number, since it uses less digits than its factorization.

448755120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 448755120 is about 21183.8410114880. The cubic root of 448755120 is about 765.6021403032.

The spelling of 448755120 in words is "four hundred forty-eight million, seven hundred fifty-five thousand, one hundred twenty".