449218080 has 72 divisors (see below), whose sum is σ = 1532961612. Its totient is φ = 119791104.

The previous prime is 449218067. The next prime is 449218093. The reversal of 449218080 is 80812944.

It is an interprime number because it is at equal distance from previous prime (449218067) and next prime (449218093).

It can be written as a sum of positive squares in 2 ways, for example, as 432473616 + 16744464 = 20796^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154539 + ... + 157418.

Almost surely, 2^449218080 is an apocalyptic number.

449218080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449218080 is an abundant number, since it is smaller than the sum of its proper divisors (1083743532).

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

449218080 is a wasteful number, since it uses less digits than its factorization.

449218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311978 (or 311967 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 449218080 is about 21194.7653914829. The cubic root of 449218080 is about 765.8653286460.

The spelling of 449218080 in words is "four hundred forty-nine million, two hundred eighteen thousand, eighty".