449408401 has 16 divisors (see below), whose sum is σ = 499001104. Its totient is φ = 402050304.

The previous prime is 449408371. The next prime is 449408419. The reversal of 449408401 is 104804944.

It can be written as a sum of positive squares in 8 ways, for example, as 16810000 + 432598401 = 4100^2 + 20799^2 .

It is a cyclic number.

It is not a de Polignac number, because 449408401 - 2²³ = 441019793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (449408101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131551 + ... + 134923.

It is an arithmetic number, because the mean of its divisors is an integer number (31187569).

Almost surely, 2^449408401 is an apocalyptic number.

It is an amenable number.

449408401 is a deficient number, since it is larger than the sum of its proper divisors (49592703).

449408401 is a wasteful number, since it uses less digits than its factorization.

449408401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700.

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 449408401 is about 21199.2547274662. The cubic root of 449408401 is about 765.9734718707.

The spelling of 449408401 in words is "four hundred forty-nine million, four hundred eight thousand, four hundred one".