448971600 has 480 divisors, whose sum is σ = 1851024384. Its totient is φ = 90316800.

The previous prime is 448971599. The next prime is 448971613. The reversal of 448971600 is 6179844.

It is a happy number.

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, 3973144 + ... + 3973256.

Almost surely, 2^448971600 is an apocalyptic number.

448971600 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 448971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925512192).

448971600 is an abundant number, since it is smaller than the sum of its proper divisors (1402052784).

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

448971600 is a wasteful number, since it uses less digits than its factorization.

448971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 448971600 is about 21188.9499503869. The cubic root of 448971600 is about 765.7252296381.

The spelling of 448971600 in words is "four hundred forty-eight million, nine hundred seventy-one thousand, six hundred".