449476164 has 36 divisors (see below), whose sum is σ = 1136955820. Its totient is φ = 149722560.

The previous prime is 449476151. The next prime is 449476169. The reversal of 449476164 is 461674944.

449476164 is a `hidden beast` number, since 449 + 47 + 6 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 349316100 = 10008^2 + 18690^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (449476169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63642 + ... + 70350.

Almost surely, 2^449476164 is an apocalyptic number.

It is an amenable number.

449476164 is an abundant number, since it is smaller than the sum of its proper divisors (687479656).

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

449476164 is a wasteful number, since it uses less digits than its factorization.

449476164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8575 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 449476164 is about 21200.8529073714. The cubic root of 449476164 is about 766.0119684450.

The spelling of 449476164 in words is "four hundred forty-nine million, four hundred seventy-six thousand, one hundred sixty-four".