449530035944 has 96 divisors (see below), whose sum is σ = 979850474400. Its totient is φ = 192658435200.

The previous prime is 449530035937. The next prime is 449530035961.

449530035944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×449530035944² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449530035892 and 449530035901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3822794 + ... + 3938630.

It is an arithmetic number, because the mean of its divisors is an integer number (10206775775).

Almost surely, 2^449530035944 is an apocalyptic number.

449530035944 is a gapful number since it is divisible by the number (44) 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 449530035944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489925237200).

449530035944 is an abundant number, since it is smaller than the sum of its proper divisors (530320438456).

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

449530035944 is a wasteful number, since it uses less digits than its factorization.

449530035944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116095 (or 116080 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 449530035944 in words is "four hundred forty-nine billion, five hundred thirty million, thirty-five thousand, nine hundred forty-four".