448701000 has 128 divisors (see below), whose sum is σ = 1527327360. Its totient is φ = 108768000.

The previous prime is 448700999. The next prime is 448701023. The reversal of 448701000 is 107844.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26202 + ... + 39798.

It is an arithmetic number, because the mean of its divisors is an integer number (11932245).

Almost surely, 2^448701000 is an apocalyptic number.

448701000 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 448701000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763663680).

448701000 is an abundant number, since it is smaller than the sum of its proper divisors (1078626360).

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

448701000 is a wasteful number, since it uses less digits than its factorization.

448701000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13632 (or 13618 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 448701000 is about 21182.5635842313. The cubic root of 448701000 is about 765.5713617844.

Adding to 448701000 its reverse (107844), we get a palindrome (448808844).

The spelling of 448701000 in words is "four hundred forty-eight million, seven hundred one thousand".