449521380 has 384 divisors, whose sum is σ = 1838592000. Its totient is φ = 88335360.

The previous prime is 449521379. The next prime is 449521381. The reversal of 449521380 is 83125944.

It is an interprime number because it is at equal distance from previous prime (449521379) and next prime (449521381).

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

It is not an unprimeable number, because it can be changed into a prime (449521381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 789736 + ... + 790304.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2^449521380 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 449521380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296000).

449521380 is an abundant number, since it is smaller than the sum of its proper divisors (1389070620).

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

449521380 is a wasteful number, since it uses less digits than its factorization.

449521380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 449521380 is about 21201.9192527469. The cubic root of 449521380 is about 766.0376537788.

The spelling of 449521380 in words is "four hundred forty-nine million, five hundred twenty-one thousand, three hundred eighty".