449923600896 has 960 divisors, whose sum is σ = 1582625848320. Its totient is φ = 112250880000.

The previous prime is 449923600891. The next prime is 449923600961. The reversal of 449923600896 is 698006329944.

It is not an unprimeable number, because it can be changed into a prime (449923600891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2979626421 + ... + 2979626571.

It is an arithmetic number, because the mean of its divisors is an integer number (1648568592).

Almost surely, 2^449923600896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449923600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791312924160).

449923600896 is an abundant number, since it is smaller than the sum of its proper divisors (1132702247424).

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

449923600896 is a wasteful number, since it uses less digits than its factorization.

449923600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 449923600896 in words is "four hundred forty-nine billion, nine hundred twenty-three million, six hundred thousand, eight hundred ninety-six".