448678920 has 256 divisors, whose sum is σ = 1492992000. Its totient is φ = 107467776.

The previous prime is 448678907. The next prime is 448678933. The reversal of 448678920 is 29876844.

It is an interprime number because it is at equal distance from previous prime (448678907) and next prime (448678933).

It is a self number, because there is not a number n which added to its sum of digits gives 448678920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5679441 + ... + 5679519.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2^448678920 is an apocalyptic number.

448678920 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 448678920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496000).

448678920 is an abundant number, since it is smaller than the sum of its proper divisors (1044313080).

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

448678920 is a wasteful number, since it uses less digits than its factorization.

448678920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 448678920 is about 21182.0423944435. The cubic root of 448678920 is about 765.5588039839.

The spelling of 448678920 in words is "four hundred forty-eight million, six hundred seventy-eight thousand, nine hundred twenty".