449826064 has 40 divisors (see below), whose sum is σ = 920099840. Its totient is φ = 212450688.

The previous prime is 449826061. The next prime is 449826067. The reversal of 449826064 is 460628944.

It is an interprime number because it is at equal distance from previous prime (449826061) and next prime (449826067).

It is a self number, because there is not a number n which added to its sum of digits gives 449826064.

It is not an unprimeable number, because it can be changed into a prime (449826061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111409 + ... + 115375.

It is an arithmetic number, because the mean of its divisors is an integer number (23002496).

Almost surely, 2^449826064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449826064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460049920).

449826064 is an abundant number, since it is smaller than the sum of its proper divisors (470273776).

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

449826064 is a wasteful number, since it uses less digits than its factorization.

449826064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 449826064 is about 21209.1033285238. The cubic root of 449826064 is about 766.2106872274.

The spelling of 449826064 in words is "four hundred forty-nine million, eight hundred twenty-six thousand, sixty-four".