448824640 has 56 divisors (see below), whose sum is σ = 1165933152. Its totient is φ = 163207680.

The previous prime is 448824637. The next prime is 448824647. The reversal of 448824640 is 46428844.

It is a super-2 number, since 2×448824640² = 402887114942259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 448824593 and 448824602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448824647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60234 + ... + 67273.

Almost surely, 2^448824640 is an apocalyptic number.

448824640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448824640 is an abundant number, since it is smaller than the sum of its proper divisors (717108512).

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

448824640 is a wasteful number, since it uses less digits than its factorization.

448824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127535 (or 127525 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The square root of 448824640 is about 21185.4818212851. The cubic root of 448824640 is about 765.6416733062.

The spelling of 448824640 in words is "four hundred forty-eight million, eight hundred twenty-four thousand, six hundred forty".