449818380 has 192 divisors, whose sum is σ = 1564738560. Its totient is φ = 106329600.

The previous prime is 449818373. The next prime is 449818387. The reversal of 449818380 is 83818944.

449818380 is a `hidden beast` number, since 4 + 498 + 1 + 83 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (449818373) and next prime (449818387).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (449818387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242617 + ... + 244463.

It is an arithmetic number, because the mean of its divisors is an integer number (8149680).

Almost surely, 2^449818380 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 449818380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782369280).

449818380 is an abundant number, since it is smaller than the sum of its proper divisors (1114920180).

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

449818380 is a wasteful number, since it uses less digits than its factorization.

449818380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 449818380 is about 21208.9221791207. The cubic root of 449818380 is about 766.2063243585.

It can be divided in two parts, 44981 and 8380, that added together give a square (53361 = 231²).

The spelling of 449818380 in words is "four hundred forty-nine million, eight hundred eighteen thousand, three hundred eighty".