448976880 has 240 divisors, whose sum is σ = 1667143296. Its totient is φ = 107374080.

The previous prime is 448976863. The next prime is 448976881. The reversal of 448976880 is 88679844.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448976881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657019 + ... + 657701.

Almost surely, 2^448976880 is an apocalyptic number.

448976880 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 448976880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

448976880 is an abundant number, since it is smaller than the sum of its proper divisors (1218166416).

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

448976880 is a wasteful number, since it uses less digits than its factorization.

448976880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 448976880 is about 21189.0745432640. The cubic root of 448976880 is about 765.7282313227.

The spelling of 448976880 in words is "four hundred forty-eight million, nine hundred seventy-six thousand, eight hundred eighty".