449630580 has 96 divisors (see below), whose sum is σ = 1441601280. Its totient is φ = 102574080.

The previous prime is 449630561. The next prime is 449630591. The reversal of 449630580 is 85036944.

It is a super-3 number, since 3×449630580³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423250 + ... + 424310.

It is an arithmetic number, because the mean of its divisors is an integer number (15016680).

Almost surely, 2^449630580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449630580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720800640).

449630580 is an abundant number, since it is smaller than the sum of its proper divisors (991970700).

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

449630580 is a wasteful number, since it uses less digits than its factorization.

449630580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 449630580 is about 21204.4943349281. The cubic root of 449630580 is about 766.0996786662.

The spelling of 449630580 in words is "four hundred forty-nine million, six hundred thirty thousand, five hundred eighty".