449962959600 has 960 divisors, whose sum is σ = 2007490560000. Its totient is φ = 92994739200.

The previous prime is 449962959581. The next prime is 449962959659. The reversal of 449962959600 is 6959269944.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 165487041 + ... + 165489759.

It is an arithmetic number, because the mean of its divisors is an integer number (2091136000).

Almost surely, 2^449962959600 is an apocalyptic number.

449962959600 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 449962959600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003745280000).

449962959600 is an abundant number, since it is smaller than the sum of its proper divisors (1557527600400).

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

449962959600 is a wasteful number, since it uses less digits than its factorization.

449962959600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 449962959600 in words is "four hundred forty-nine billion, nine hundred sixty-two million, nine hundred fifty-nine thousand, six hundred".