449061120 has 216 divisors, whose sum is σ = 1645816536. Its totient is φ = 112656384.

The previous prime is 449061113. The next prime is 449061127. The reversal of 449061120 is 21160944.

449061120 is a `hidden beast` number, since 4 + 49 + 0 + 611 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (449061113) and next prime (449061127).

It can be written as a sum of positive squares in 4 ways, for example, as 56070144 + 392990976 = 7488^2 + 19824^2 .

It is not an unprimeable number, because it can be changed into a prime (449061127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194694 + ... + 196986.

It is an arithmetic number, because the mean of its divisors is an integer number (7619521).

Almost surely, 2^449061120 is an apocalyptic number.

449061120 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 449061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822908268).

449061120 is an abundant number, since it is smaller than the sum of its proper divisors (1196755416).

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

449061120 is a wasteful number, since it uses less digits than its factorization.

449061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 449061120 is about 21191.0622669087. The cubic root of 449061120 is about 765.7761186529.

The spelling of 449061120 in words is "four hundred forty-nine million, sixty-one thousand, one hundred twenty".