449361120 has 384 divisors, whose sum is σ = 1658216448. Its totient is φ = 101376000.

The previous prime is 449361109. The next prime is 449361127. The reversal of 449361120 is 21163944.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449361127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4449070 + ... + 4449170.

It is an arithmetic number, because the mean of its divisors is an integer number (4318272).

Almost surely, 2^449361120 is an apocalyptic number.

449361120 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 449361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829108224).

449361120 is an abundant number, since it is smaller than the sum of its proper divisors (1208855328).

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

449361120 is a wasteful number, since it uses less digits than its factorization.

449361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 449361120 is about 21198.1395410069. The cubic root of 449361120 is about 765.9466089536.

It can be divided in two parts, 44936 and 1120, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 449361120 in words is "four hundred forty-nine million, three hundred sixty-one thousand, one hundred twenty".