449300640 has 96 divisors (see below), whose sum is σ = 1420372800. Its totient is φ = 119384064.

The previous prime is 449300629. The next prime is 449300647. The reversal of 449300640 is 46003944.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 449300598 and 449300607.

It is not an unprimeable number, because it can be changed into a prime (449300647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 145836 + ... + 148884.

It is an arithmetic number, because the mean of its divisors is an integer number (14795550).

Almost surely, 2^449300640 is an apocalyptic number.

449300640 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 449300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710186400).

449300640 is an abundant number, since it is smaller than the sum of its proper divisors (971072160).

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

449300640 is a wasteful number, since it uses less digits than its factorization.

449300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 449300640 is about 21196.7129527198. The cubic root of 449300640 is about 765.9122442171.

The spelling of 449300640 in words is "four hundred forty-nine million, three hundred thousand, six hundred forty".