449940064 has 96 divisors (see below), whose sum is σ = 1081382400. Its totient is φ = 179988480.

The previous prime is 449940061. The next prime is 449940097. The reversal of 449940064 is 460049944.

It is a happy number.

It is a super-2 number, since 2×449940064² = 404892122384648192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449939999 and 449940026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449940061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301432 + ... + 302920.

It is an arithmetic number, because the mean of its divisors is an integer number (11264400).

Almost surely, 2^449940064 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 449940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540691200).

449940064 is an abundant number, since it is smaller than the sum of its proper divisors (631442336).

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

449940064 is a wasteful number, since it uses less digits than its factorization.

449940064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 449940064 is about 21211.7906834854. The cubic root of 449940064 is about 766.2754090147.

The spelling of 449940064 in words is "four hundred forty-nine million, nine hundred forty thousand, sixty-four".