449116416 has 108 divisors (see below), whose sum is σ = 1479954112. Its totient is φ = 128314368.

The previous prime is 449116411. The next prime is 449116427. The reversal of 449116416 is 614611944.

449116416 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 1 + 641 + 6 = 666.

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

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 (449116411) 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, 2205 + ... + 30051.

Almost surely, 2^449116416 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 449116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739977056).

449116416 is an abundant number, since it is smaller than the sum of its proper divisors (1030837696).

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

449116416 is a wasteful number, since it uses less digits than its factorization.

449116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27876 (or 27859 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 449116416 is about 21192.3669277408. The cubic root of 449116416 is about 765.8075491319.

The spelling of 449116416 in words is "four hundred forty-nine million, one hundred sixteen thousand, four hundred sixteen".