449459712 has 320 divisors, whose sum is σ = 1491779520. Its totient is φ = 132710400.

The previous prime is 449459711. The next prime is 449459723. The reversal of 449459712 is 217954944.

449459712 is a `hidden beast` number, since 4 + 49 + 4 + 597 + 12 = 666.

It is a super-2 number, since 2×449459712² = 404028065422245888, which contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449459711) 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 31 ways as a sum of consecutive naturals, for example, 7368162 + ... + 7368222.

It is an arithmetic number, because the mean of its divisors is an integer number (4661811).

Almost surely, 2^449459712 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 449459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745889760).

449459712 is an abundant number, since it is smaller than the sum of its proper divisors (1042319808).

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

449459712 is a wasteful number, since it uses less digits than its factorization.

449459712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 449459712 is about 21200.4649005629. The cubic root of 449459712 is about 766.0026223190.

The spelling of 449459712 in words is "four hundred forty-nine million, four hundred fifty-nine thousand, seven hundred twelve".