449759232 has 144 divisors (see below), whose sum is σ = 1399654620. Its totient is φ = 138313728.

The previous prime is 449759213. The next prime is 449759237. The reversal of 449759232 is 232957944.

It can be written as a sum of positive squares in 2 ways, for example, as 442008576 + 7750656 = 21024^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (449759237) 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 11 ways as a sum of consecutive naturals, for example, 238678 + ... + 240554.

Almost surely, 2^449759232 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 449759232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699827310).

449759232 is an abundant number, since it is smaller than the sum of its proper divisors (949895388).

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

449759232 is a wasteful number, since it uses less digits than its factorization.

449759232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1895 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 449759232 is about 21207.5277201281. The cubic root of 449759232 is about 766.1727392790.

The spelling of 449759232 in words is "four hundred forty-nine million, seven hundred fifty-nine thousand, two hundred thirty-two".