449626944 has 168 divisors, whose sum is σ = 1354836000. Its totient is φ = 130802688.

The previous prime is 449626939. The next prime is 449626967.

It is a happy number.

449626944 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 449626893 and 449626902.

It is a congruent number.

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, 900807 + ... + 901305.

It is an arithmetic number, because the mean of its divisors is an integer number (8064500).

Almost surely, 2^449626944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677418000).

449626944 is an abundant number, since it is smaller than the sum of its proper divisors (905209056).

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

449626944 is a wasteful number, since it uses less digits than its factorization.

449626944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 536 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 449626944 is about 21204.4085982137. The cubic root of 449626944 is about 766.0976136036.

The spelling of 449626944 in words is "four hundred forty-nine million, six hundred twenty-six thousand, nine hundred forty-four".