449438976 has 216 divisors, whose sum is σ = 1547226240. Its totient is φ = 128314368.

The previous prime is 449438933. The next prime is 449438989. The reversal of 449438976 is 679834944.

It is a happy number.

449438976 is a `hidden beast` number, since 4 + 494 + 3 + 89 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338025 + ... + 339351.

Almost surely, 2^449438976 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 449438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773613120).

449438976 is an abundant number, since it is smaller than the sum of its proper divisors (1097787264).

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

449438976 is a wasteful number, since it uses less digits than its factorization.

449438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1339 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 449438976 is about 21199.9758490428. The cubic root of 449438976 is about 765.9908421941.

The spelling of 449438976 in words is "four hundred forty-nine million, four hundred thirty-eight thousand, nine hundred seventy-six".