449234785200 has 240 divisors, whose sum is σ = 1524388325760. Its totient is φ = 112698101760.

The previous prime is 449234785199. The next prime is 449234785211. The reversal of 449234785200 is 2587432944.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 449234785200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67459471 + ... + 67466129.

It is an arithmetic number, because the mean of its divisors is an integer number (6351618024).

Almost surely, 2^449234785200 is an apocalyptic number.

449234785200 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 449234785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762194162880).

449234785200 is an abundant number, since it is smaller than the sum of its proper divisors (1075153540560).

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

449234785200 is a wasteful number, since it uses less digits than its factorization.

449234785200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 449234785200 in words is "four hundred forty-nine billion, two hundred thirty-four million, seven hundred eighty-five thousand, two hundred".