448213500 has 576 divisors, whose sum is σ = 1831624704. Its totient is φ = 93312000.

The previous prime is 448213499. The next prime is 448213561. The reversal of 448213500 is 5312844.

448213500 is a `hidden beast` number, since 448 + 213 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14458485 + ... + 14458515.

It is an arithmetic number, because the mean of its divisors is an integer number (3179904).

Almost surely, 2^448213500 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 448213500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915812352).

448213500 is an abundant number, since it is smaller than the sum of its proper divisors (1383411204).

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

448213500 is a wasteful number, since it uses less digits than its factorization.

448213500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 448213500 is about 21171.0533512152. The cubic root of 448213500 is about 765.2940046408.

The spelling of 448213500 in words is "four hundred forty-eight million, two hundred thirteen thousand, five hundred".