449926176 has 96 divisors (see below), whose sum is σ = 1353905280. Its totient is φ = 128157696.

The previous prime is 449926163. The next prime is 449926177. The reversal of 449926176 is 671629944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (449926177) 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 15 ways as a sum of consecutive naturals, for example, 274030 + ... + 275666.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2^449926176 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 449926176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676952640).

449926176 is an abundant number, since it is smaller than the sum of its proper divisors (903979104).

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

449926176 is a wasteful number, since it uses less digits than its factorization.

449926176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2058 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 449926176 is about 21211.4633158582. The cubic root of 449926176 is about 766.2675248962.

The spelling of 449926176 in words is "four hundred forty-nine million, nine hundred twenty-six thousand, one hundred seventy-six".