448439040 has 432 divisors, whose sum is σ = 1821351168. Its totient is φ = 99753984.

The previous prime is 448439011. The next prime is 448439059. The reversal of 448439040 is 40934844.

448439040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×448439040² = 402195145192243200, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 448438986 and 448439004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5402839 + ... + 5402921.

Almost surely, 2^448439040 is an apocalyptic number.

448439040 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 448439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910675584).

448439040 is an abundant number, since it is smaller than the sum of its proper divisors (1372912128).

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

448439040 is a wasteful number, since it uses less digits than its factorization.

448439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 448439040 is about 21176.3792939209. The cubic root of 448439040 is about 765.4223478422.

The spelling of 448439040 in words is "four hundred forty-eight million, four hundred thirty-nine thousand, forty".