449285947200 has 504 divisors, whose sum is σ = 1720050103200. Its totient is φ = 110861291520.

The previous prime is 449285947199. The next prime is 449285947207. The reversal of 449285947200 is 2749582944.

It is a happy number.

449285947200 is a `hidden beast` number, since 4 + 4 + 9 + 28 + 594 + 7 + 20 + 0 = 666.

449285947200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449285947207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11745706 + ... + 11783894.

Almost surely, 2^449285947200 is an apocalyptic number.

449285947200 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 449285947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860025051600).

449285947200 is an abundant number, since it is smaller than the sum of its proper divisors (1270764156000).

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

449285947200 is a wasteful number, since it uses less digits than its factorization.

449285947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38279 (or 38261 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 449285947200 in words is "four hundred forty-nine billion, two hundred eighty-five million, nine hundred forty-seven thousand, two hundred".