448968520 has 128 divisors (see below), whose sum is σ = 1356445440. Its totient is φ = 129162240.

The previous prime is 448968511. The next prime is 448968529. The reversal of 448968520 is 25869844.

It is an interprime number because it is at equal distance from previous prime (448968511) and next prime (448968529).

It is not an unprimeable number, because it can be changed into a prime (448968529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34434 + ... + 45646.

It is an arithmetic number, because the mean of its divisors is an integer number (10597230).

Almost surely, 2^448968520 is an apocalyptic number.

448968520 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 448968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678222720).

448968520 is an abundant number, since it is smaller than the sum of its proper divisors (907476920).

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

448968520 is a wasteful number, since it uses less digits than its factorization.

448968520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11255 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 448968520 is about 21188.8772708702. The cubic root of 448968520 is about 765.7234786446.

The spelling of 448968520 in words is "four hundred forty-eight million, nine hundred sixty-eight thousand, five hundred twenty".