448418880 has 672 divisors, whose sum is σ = 1997049600. Its totient is φ = 89800704.

The previous prime is 448418863. The next prime is 448418897. The reversal of 448418880 is 88814844.

It is an interprime number because it is at equal distance from previous prime (448418863) and next prime (448418897).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7600291 + ... + 7600349.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2^448418880 is an apocalyptic number.

448418880 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 448418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998524800).

448418880 is an abundant number, since it is smaller than the sum of its proper divisors (1548630720).

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

448418880 is a wasteful number, since it uses less digits than its factorization.

448418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 448418880 is about 21175.9032865189. The cubic root of 448418880 is about 765.4108775758.

The spelling of 448418880 in words is "four hundred forty-eight million, four hundred eighteen thousand, eight hundred eighty".