449960666400 has 1296 divisors, whose sum is σ = 1914991932672. Its totient is φ = 97335705600.

The previous prime is 449960666383. The next prime is 449960666423. The reversal of 449960666400 is 4666069944.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 3981952744 + ... + 3981952856.

It is an arithmetic number, because the mean of its divisors is an integer number (1477617232).

Almost surely, 2^449960666400 is an apocalyptic number.

449960666400 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 449960666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957495966336).

449960666400 is an abundant number, since it is smaller than the sum of its proper divisors (1465031266272).

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

449960666400 is a wasteful number, since it uses less digits than its factorization.

449960666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 449960666400 in words is "four hundred forty-nine billion, nine hundred sixty million, six hundred sixty-six thousand, four hundred".