449071200 has 216 divisors, whose sum is σ = 1602350568. Its totient is φ = 118333440.

The previous prime is 449071199. The next prime is 449071219. The reversal of 449071200 is 2170944.

It is a happy number.

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, 698079 + ... + 698721.

Almost surely, 2^449071200 is an apocalyptic number.

449071200 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 449071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801175284).

449071200 is an abundant number, since it is smaller than the sum of its proper divisors (1153279368).

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

449071200 is a wasteful number, since it uses less digits than its factorization.

449071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 449071200 is about 21191.3001016927. The cubic root of 449071200 is about 765.7818483596.

The spelling of 449071200 in words is "four hundred forty-nine million, seventy-one thousand, two hundred".