449643840 has 224 divisors, whose sum is σ = 1527413760. Its totient is φ = 111820800.

The previous prime is 449643833. The next prime is 449643841. The reversal of 449643840 is 48346944.

It is a junction number, because it is equal to n+sod(n) for n = 449643792 and 449643801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449643841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 862780 + ... + 863300.

Almost surely, 2^449643840 is an apocalyptic number.

449643840 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 449643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763706880).

449643840 is an abundant number, since it is smaller than the sum of its proper divisors (1077769920).

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

449643840 is a wasteful number, since it uses less digits than its factorization.

449643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 449643840 is about 21204.8070021870. The cubic root of 449643840 is about 766.1072095759.

The spelling of 449643840 in words is "four hundred forty-nine million, six hundred forty-three thousand, eight hundred forty".