449962269944 has 96 divisors (see below), whose sum is σ = 943501789440. Its totient is φ = 199486123200.

The previous prime is 449962269943. The next prime is 449962269949.

449962269944 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449962269943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45579329 + ... + 45589199.

It is an arithmetic number, because the mean of its divisors is an integer number (9828143640).

Almost surely, 2^449962269944 is an apocalyptic number.

449962269944 is a gapful number since it is divisible by the number (44) 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 449962269944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471750894720).

449962269944 is an abundant number, since it is smaller than the sum of its proper divisors (493539519496).

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

449962269944 is a wasteful number, since it uses less digits than its factorization.

449962269944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129 (or 10046 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 68.

The spelling of 449962269944 in words is "four hundred forty-nine billion, nine hundred sixty-two million, two hundred sixty-nine thousand, nine hundred forty-four".