448893900 has 648 divisors, whose sum is σ = 1890972720. Its totient is φ = 91445760.

The previous prime is 448893877. The next prime is 448893917. The reversal of 448893900 is 9398844.

It is a happy number.

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 215 ways as a sum of consecutive naturals, for example, 15479086 + ... + 15479114.

Almost surely, 2^448893900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448893900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945486360).

448893900 is an abundant number, since it is smaller than the sum of its proper divisors (1442078820).

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

448893900 is a wasteful number, since it uses less digits than its factorization.

448893900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 448893900 is about 21187.1163682083. The cubic root of 448893900 is about 765.6810543993.

The spelling of 448893900 in words is "four hundred forty-eight million, eight hundred ninety-three thousand, nine hundred".