449239680 has 192 divisors, whose sum is σ = 1619205120. Its totient is φ = 114554880.

The previous prime is 449239673. The next prime is 449239699. The reversal of 449239680 is 86932944.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130785 + ... + 134175.

It is an arithmetic number, because the mean of its divisors is an integer number (8433360).

Almost surely, 2^449239680 is an apocalyptic number.

449239680 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 449239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809602560).

449239680 is an abundant number, since it is smaller than the sum of its proper divisors (1169965440).

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

449239680 is a wasteful number, since it uses less digits than its factorization.

449239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 449239680 is about 21195.2749451381. The cubic root of 449239680 is about 765.8776036239.

The spelling of 449239680 in words is "four hundred forty-nine million, two hundred thirty-nine thousand, six hundred eighty".