449406504 has 192 divisors, whose sum is σ = 1334361600. Its totient is φ = 136281600.

The previous prime is 449406497. The next prime is 449406521. The reversal of 449406504 is 405604944.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3430519 + ... + 3430649.

It is an arithmetic number, because the mean of its divisors is an integer number (6949800).

Almost surely, 2^449406504 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 449406504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667180800).

449406504 is an abundant number, since it is smaller than the sum of its proper divisors (884955096).

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

449406504 is a wasteful number, since it uses less digits than its factorization.

449406504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 449406504 is about 21199.2099852801. The cubic root of 449406504 is about 765.9723941177.

The spelling of 449406504 in words is "four hundred forty-nine million, four hundred six thousand, five hundred four".