449297280 has 288 divisors, whose sum is σ = 1626126840. Its totient is φ = 118692864.

The previous prime is 449297257. The next prime is 449297297. The reversal of 449297280 is 82792944.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4198987 + ... + 4199093.

Almost surely, 2^449297280 is an apocalyptic number.

449297280 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 449297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813063420).

449297280 is an abundant number, since it is smaller than the sum of its proper divisors (1176829560).

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

449297280 is an frugal number, since it uses more digits than its factorization.

449297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 449297280 is about 21196.6336949998. The cubic root of 449297280 is about 765.9103349747.

The spelling of 449297280 in words is "four hundred forty-nine million, two hundred ninety-seven thousand, two hundred eighty".