448492000 has 96 divisors (see below), whose sum is σ = 1202239584. Its totient is φ = 163072000.

The previous prime is 448491997. The next prime is 448492007. The reversal of 448492000 is 294844.

It is a super-2 number, since 2×448492000² = 402290148128000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448492007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38904 + ... + 49096.

It is an arithmetic number, because the mean of its divisors is an integer number (12523329).

Almost surely, 2^448492000 is an apocalyptic number.

448492000 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 448492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601119792).

448492000 is an abundant number, since it is smaller than the sum of its proper divisors (753747584).

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

448492000 is a wasteful number, since it uses less digits than its factorization.

448492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10229 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 448492000 is about 21177.6297068392. The cubic root of 448492000 is about 765.4524784124.

The spelling of 448492000 in words is "four hundred forty-eight million, four hundred ninety-two thousand".