449325256800 has 648 divisors, whose sum is σ = 1724079979944. Its totient is φ = 101342760960.

The previous prime is 449325256789. The next prime is 449325256801. The reversal of 449325256800 is 8652523944.

It is a happy number.

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 449325256800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449325256801) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 2690570317 + ... + 2690570483.

It is an arithmetic number, because the mean of its divisors is an integer number (2660617253).

Almost surely, 2^449325256800 is an apocalyptic number.

449325256800 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 449325256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862039989972).

449325256800 is an abundant number, since it is smaller than the sum of its proper divisors (1274754723144).

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

449325256800 is a wasteful number, since it uses less digits than its factorization.

449325256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 449325256800 in words is "four hundred forty-nine billion, three hundred twenty-five million, two hundred fifty-six thousand, eight hundred".