449038080 has 360 divisors, whose sum is σ = 1656081504. Its totient is φ = 116121600.

The previous prime is 449038067. The next prime is 449038099. The reversal of 449038080 is 80830944.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6324445 + ... + 6324515.

Almost surely, 2^449038080 is an apocalyptic number.

449038080 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 449038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828040752).

449038080 is an abundant number, since it is smaller than the sum of its proper divisors (1207043424).

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

449038080 is an equidigital number, since it uses as much as digits as its factorization.

449038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 449038080 is about 21190.5186345214. The cubic root of 449038080 is about 765.7630218585.

The spelling of 449038080 in words is "four hundred forty-nine million, thirty-eight thousand, eighty".