449686944 has 96 divisors (see below), whose sum is σ = 1498976640. Its totient is φ = 128480256.

The previous prime is 449686943. The next prime is 449686957.

It is a happy number.

449686944 is nontrivially palindromic in base 10.

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 (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (449686943) 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, 31129 + ... + 43224.

It is an arithmetic number, because the mean of its divisors is an integer number (15614340).

Almost surely, 2^449686944 is an apocalyptic number.

It is an amenable number.

449686944 is an abundant number, since it is smaller than the sum of its proper divisors (1049289696).

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

449686944 is a wasteful number, since it uses less digits than its factorization.

449686944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74379 (or 74365 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 449686944 is about 21205.8233511458. The cubic root of 449686944 is about 766.1316891211.

The spelling of 449686944 in words is "four hundred forty-nine million, six hundred eighty-six thousand, nine hundred forty-four".