449296000 has 64 divisors (see below), whose sum is σ = 1117101960. Its totient is φ = 179712000.

The previous prime is 449295967. The next prime is 449296013. The reversal of 449296000 is 692944.

It can be written as a sum of positive squares in 4 ways, for example, as 81577024 + 367718976 = 9032^2 + 19176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1960 + ... + 30040.

Almost surely, 2^449296000 is an apocalyptic number.

449296000 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 449296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558550980).

449296000 is an abundant number, since it is smaller than the sum of its proper divisors (667805960).

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

449296000 is an equidigital number, since it uses as much as digits as its factorization.

449296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28110 (or 28088 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 449296000 is about 21196.6035015047. The cubic root of 449296000 is about 765.9096076417.

The spelling of 449296000 in words is "four hundred forty-nine million, two hundred ninety-six thousand".