448295040 has 128 divisors (see below), whose sum is σ = 1587772800. Its totient is φ = 119540736.

The previous prime is 448295027. The next prime is 448295051. The reversal of 448295040 is 40592844.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 448294986 and 448295004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4309 + ... + 30251.

It is an arithmetic number, because the mean of its divisors is an integer number (12404475).

Almost surely, 2^448295040 is an apocalyptic number.

448295040 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 448295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793886400).

448295040 is an abundant number, since it is smaller than the sum of its proper divisors (1139477760).

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

448295040 is a wasteful number, since it uses less digits than its factorization.

448295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25971 (or 25953 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 448295040 is about 21172.9790062712. The cubic root of 448295040 is about 765.3404098245.

The spelling of 448295040 in words is "four hundred forty-eight million, two hundred ninety-five thousand, forty".