449216040 has 256 divisors, whose sum is σ = 1713438720. Its totient is φ = 91653120.

The previous prime is 449216023. The next prime is 449216051. The reversal of 449216040 is 40612944.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 449215989 and 449216007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337857 + ... + 339183.

It is an arithmetic number, because the mean of its divisors is an integer number (6693120).

Almost surely, 2^449216040 is an apocalyptic number.

449216040 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 449216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856719360).

449216040 is an abundant number, since it is smaller than the sum of its proper divisors (1264222680).

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

449216040 is a wasteful number, since it uses less digits than its factorization.

449216040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 449216040 is about 21194.7172663379. The cubic root of 449216040 is about 765.8641693222.

Adding to 449216040 its reverse (40612944), we get a palindrome (489828984).

The spelling of 449216040 in words is "four hundred forty-nine million, two hundred sixteen thousand, forty".