449673120 has 480 divisors, whose sum is σ = 1821104208. Its totient is φ = 103514112.

The previous prime is 449673097. The next prime is 449673121. The reversal of 449673120 is 21376944.

It can be written as a sum of positive squares in 8 ways, for example, as 126967824 + 322705296 = 11268^2 + 17964^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449673121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2864082 + ... + 2864238.

Almost surely, 2^449673120 is an apocalyptic number.

449673120 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 449673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910552104).

449673120 is an abundant number, since it is smaller than the sum of its proper divisors (1371431088).

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

449673120 is a wasteful number, since it uses less digits than its factorization.

449673120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 449673120 is about 21205.4974004384. The cubic root of 449673120 is about 766.1238383906.

The spelling of 449673120 in words is "four hundred forty-nine million, six hundred seventy-three thousand, one hundred twenty".