449079760 has 40 divisors (see below), whose sum is σ = 1055858760. Its totient is φ = 177610752.

The previous prime is 449079737. The next prime is 449079781. The reversal of 449079760 is 67970944.

It can be written as a sum of positive squares in 4 ways, for example, as 18766224 + 430313536 = 4332^2 + 20744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 449079760.

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 7 ways as a sum of consecutive naturals, for example, 24417 + ... + 38656.

It is an arithmetic number, because the mean of its divisors is an integer number (26396469).

Almost surely, 2^449079760 is an apocalyptic number.

449079760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449079760 is an abundant number, since it is smaller than the sum of its proper divisors (606779000).

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

449079760 is a wasteful number, since it uses less digits than its factorization.

449079760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63175 (or 63169 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 449079760 is about 21191.5020704055. The cubic root of 449079760 is about 765.7867139956.

The spelling of 449079760 in words is "four hundred forty-nine million, seventy-nine thousand, seven hundred sixty".