449032320 has 384 divisors, whose sum is σ = 1785326400. Its totient is φ = 102850560.

The previous prime is 449032319. The next prime is 449032321. The reversal of 449032320 is 23230944.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (449032319) and next prime (449032321).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (449032321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203654 + ... + 1204026.

Almost surely, 2^449032320 is an apocalyptic number.

449032320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892663200).

449032320 is an abundant number, since it is smaller than the sum of its proper divisors (1336294080).

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

449032320 is a wasteful number, since it uses less digits than its factorization.

449032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 449032320 is about 21190.3827242454. The cubic root of 449032320 is about 765.7597475899.

The spelling of 449032320 in words is "four hundred forty-nine million, thirty-two thousand, three hundred twenty".