448932000 has 384 divisors, whose sum is σ = 1698278400. Its totient is φ = 102528000.

The previous prime is 448931999. The next prime is 448932007. The reversal of 448932000 is 239844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448932007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2507911 + ... + 2508089.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^448932000 is an apocalyptic number.

448932000 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 448932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

448932000 is an abundant number, since it is smaller than the sum of its proper divisors (1249346400).

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

448932000 is a wasteful number, since it uses less digits than its factorization.

448932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 448932000 is about 21188.0154804550. The cubic root of 448932000 is about 765.7027162537.

The spelling of 448932000 in words is "four hundred forty-eight million, nine hundred thirty-two thousand".