449815120 has 80 divisors (see below), whose sum is σ = 1109304000. Its totient is φ = 169150464.

The previous prime is 449815061. The next prime is 449815129. The reversal of 449815120 is 21518944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×449815120² = 404667284361228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449815129) 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, 210216 + ... + 212344.

It is an arithmetic number, because the mean of its divisors is an integer number (13866300).

Almost surely, 2^449815120 is an apocalyptic number.

449815120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554652000).

449815120 is an abundant number, since it is smaller than the sum of its proper divisors (659488880).

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

449815120 is a wasteful number, since it uses less digits than its factorization.

449815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 449815120 is about 21208.8453245338. The cubic root of 449815120 is about 766.2044733606.

The spelling of 449815120 in words is "four hundred forty-nine million, eight hundred fifteen thousand, one hundred twenty".