449971200 has 660 divisors, whose sum is σ = 1965644032. Its totient is φ = 99532800.

The previous prime is 449971183. The next prime is 449971211. The reversal of 449971200 is 2179944.

449971200 is a `hidden beast` number, since 449 + 9 + 7 + 1 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14515185 + ... + 14515215.

Almost surely, 2^449971200 is an apocalyptic number.

449971200 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 449971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982822016).

449971200 is an abundant number, since it is smaller than the sum of its proper divisors (1515672832).

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

449971200 is a wasteful number, since it uses less digits than its factorization.

449971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 449971200 is about 21212.5246022250. The cubic root of 449971200 is about 766.2930841102.

The spelling of 449971200 in words is "four hundred forty-nine million, nine hundred seventy-one thousand, two hundred".