449917640 has 64 divisors (see below), whose sum is σ = 1032307200. Its totient is φ = 176447232.

The previous prime is 449917619. The next prime is 449917649. The reversal of 449917640 is 46719944.

It is a junction number, because it is equal to n+sod(n) for n = 449917591 and 449917600.

It is not an unprimeable number, because it can be changed into a prime (449917649) 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, 546269 + ... + 547091.

It is an arithmetic number, because the mean of its divisors is an integer number (16129800).

Almost surely, 2^449917640 is an apocalyptic number.

449917640 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 449917640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516153600).

449917640 is an abundant number, since it is smaller than the sum of its proper divisors (582389560).

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

449917640 is a wasteful number, since it uses less digits than its factorization.

449917640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 449917640 is about 21211.2621029490. The cubic root of 449917640 is about 766.2626789894.

The spelling of 449917640 in words is "four hundred forty-nine million, nine hundred seventeen thousand, six hundred forty".