448555968 has 280 divisors, whose sum is σ = 1557844992. Its totient is φ = 124955136.

The previous prime is 448555967. The next prime is 448555969. The reversal of 448555968 is 869555844.

448555968 is a `hidden beast` number, since 4 + 4 + 85 + 559 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (448555967) and next prime (448555969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448555967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1705405 + ... + 1705667.

Almost surely, 2^448555968 is an apocalyptic number.

448555968 is a gapful number since it is divisible by the number (48) 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 448555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778922496).

448555968 is an abundant number, since it is smaller than the sum of its proper divisors (1109289024).

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

448555968 is a wasteful number, since it uses less digits than its factorization.

448555968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 448555968 is about 21179.1399258799. The cubic root of 448555968 is about 765.4888686091.

The spelling of 448555968 in words is "four hundred forty-eight million, five hundred fifty-five thousand, nine hundred sixty-eight".