448484440 has 64 divisors (see below), whose sum is σ = 1052248320. Its totient is φ = 171840000.

The previous prime is 448484423. The next prime is 448484461. The reversal of 448484440 is 44484844.

It is a super-2 number, since 2×448484440² = 402276585844227200, 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 = 448484393 and 448484402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123450 + ... + 127030.

It is an arithmetic number, because the mean of its divisors is an integer number (16441380).

Almost surely, 2^448484440 is an apocalyptic number.

448484440 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 448484440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526124160).

448484440 is an abundant number, since it is smaller than the sum of its proper divisors (603763880).

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

448484440 is a wasteful number, since it uses less digits than its factorization.

448484440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The square root of 448484440 is about 21177.4512158569. The cubic root of 448484440 is about 765.4481774414.

The spelling of 448484440 in words is "four hundred forty-eight million, four hundred eighty-four thousand, four hundred forty".