448900000 has 108 divisors (see below), whose sum is σ = 1121377446. Its totient is φ = 176880000.

The previous prime is 448899973. The next prime is 448900003. The reversal of 448900000 is 9844.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 646416 + 448253584 = 804^2 + 21172^2 .

It is a super-2 number, since 2×448900000² = 403022420000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (448900003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6699967 + ... + 6700033.

Almost surely, 2^448900000 is an apocalyptic number.

448900000 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 448900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560688723).

448900000 is an abundant number, since it is smaller than the sum of its proper divisors (672477446).

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

448900000 is an frugal number, since it uses more digits than its factorization.

448900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 448900000 is about 21187.2603231281. The cubic root of 448900000 is about 765.6845226527.

Adding to 448900000 its reverse (9844), we get a palindrome (448909844).

The spelling of 448900000 in words is "four hundred forty-eight million, nine hundred thousand".