449631742560 has 768 divisors, whose sum is σ = 1963068162048. Its totient is φ = 83458252800.

The previous prime is 449631742541. The next prime is 449631742601. The reversal of 449631742560 is 65247136944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14879787 + ... + 14909973.

It is an arithmetic number, because the mean of its divisors is an integer number (2556078336).

Almost surely, 2^449631742560 is an apocalyptic number.

449631742560 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 449631742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981534081024).

449631742560 is an abundant number, since it is smaller than the sum of its proper divisors (1513436419488).

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

449631742560 is a wasteful number, since it uses less digits than its factorization.

449631742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30267 (or 30259 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 449631742560 in words is "four hundred forty-nine billion, six hundred thirty-one million, seven hundred forty-two thousand, five hundred sixty".