448791840 has 576 divisors, whose sum is σ = 1941698304. Its totient is φ = 95551488.

The previous prime is 448791839. The next prime is 448791841. The reversal of 448791840 is 48197844.

448791840 is a `hidden beast` number, since 4 + 487 + 91 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (448791839) and next prime (448791841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (448791841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4626672 + ... + 4626768.

It is an arithmetic number, because the mean of its divisors is an integer number (3371004).

Almost surely, 2^448791840 is an apocalyptic number.

448791840 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 448791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970849152).

448791840 is an abundant number, since it is smaller than the sum of its proper divisors (1492906464).

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

448791840 is a wasteful number, since it uses less digits than its factorization.

448791840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 448791840 is about 21184.7076921066. The cubic root of 448791840 is about 765.6230218802.

The spelling of 448791840 in words is "four hundred forty-eight million, seven hundred ninety-one thousand, eight hundred forty".