449671824 has 300 divisors, whose sum is σ = 1550528364. Its totient is φ = 125411328.

The previous prime is 449671823. The next prime is 449671829. The reversal of 449671824 is 428176944.

It can be written as a sum of positive squares in 2 ways, for example, as 228614400 + 221057424 = 15120^2 + 14868^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 449671824.

It is not an unprimeable number, because it can be changed into a prime (449671823) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4635744 + ... + 4635840.

Almost surely, 2^449671824 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 449671824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775264182).

449671824 is an abundant number, since it is smaller than the sum of its proper divisors (1100856540).

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

449671824 is a wasteful number, since it uses less digits than its factorization.

449671824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 449671824 is about 21205.4668423027. The cubic root of 449671824 is about 766.1231023763.

The spelling of 449671824 in words is "four hundred forty-nine million, six hundred seventy-one thousand, eight hundred twenty-four".