449349120 has 400 divisors, whose sum is σ = 1764650448. Its totient is φ = 108380160.

The previous prime is 449349041. The next prime is 449349157. The reversal of 449349120 is 21943944.

449349120 is a `hidden beast` number, since 4 + 493 + 49 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280862 + ... + 2281058.

Almost surely, 2^449349120 is an apocalyptic number.

449349120 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 449349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882325224).

449349120 is an abundant number, since it is smaller than the sum of its proper divisors (1315301328).

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

449349120 is a wasteful number, since it uses less digits than its factorization.

449349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 449349120 is about 21197.8564954101. The cubic root of 449349120 is about 765.9397907987.

The spelling of 449349120 in words is "four hundred forty-nine million, three hundred forty-nine thousand, one hundred twenty".