448740000 has 300 divisors, whose sum is σ = 1655090514. Its totient is φ = 119232000.

The previous prime is 448739969. The next prime is 448740011. The reversal of 448740000 is 47844.

It can be written as a sum of positive squares in 5 ways, for example, as 2178576 + 446561424 = 1476^2 + 21132^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1619862 + ... + 1620138.

Almost surely, 2^448740000 is an apocalyptic number.

448740000 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 448740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827545257).

448740000 is an abundant number, since it is smaller than the sum of its proper divisors (1206350514).

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

448740000 is an equidigital number, since it uses as much as digits as its factorization.

448740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 448740000 is about 21183.4841326917. The cubic root of 448740000 is about 765.5935416757.

Adding to 448740000 its reverse (47844), we get a palindrome (448787844).

The spelling of 448740000 in words is "four hundred forty-eight million, seven hundred forty thousand".