449282384 has 60 divisors (see below), whose sum is σ = 911445756. Its totient is φ = 214523904.

The previous prime is 449282377. The next prime is 449282389. The reversal of 449282384 is 483282944.

It can be written as a sum of positive squares in 6 ways, for example, as 7441984 + 441840400 = 2728^2 + 21020^2 .

Its product of digits (442368) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449282389) 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, 2327792 + ... + 2327984.

Almost surely, 2^449282384 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 449282384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455722878).

449282384 is an abundant number, since it is smaller than the sum of its proper divisors (462163372).

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

449282384 is a wasteful number, since it uses less digits than its factorization.

449282384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 397 counting only the distinct ones).

The product of its digits is 442368, while the sum is 44.

The square root of 449282384 is about 21196.2823155383. The cubic root of 449282384 is about 765.9018705519.

The spelling of 449282384 in words is "four hundred forty-nine million, two hundred eighty-two thousand, three hundred eighty-four".