449158686720 has 576 divisors, whose sum is σ = 1560871166400. Its totient is φ = 109896007680.

The previous prime is 449158686703. The next prime is 449158686727. The reversal of 449158686720 is 27686851944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (449158686727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3278530492 + ... + 3278530628.

It is an arithmetic number, because the mean of its divisors is an integer number (2709845775).

Almost surely, 2^449158686720 is an apocalyptic number.

449158686720 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 449158686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780435583200).

449158686720 is an abundant number, since it is smaller than the sum of its proper divisors (1111712479680).

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

449158686720 is a wasteful number, since it uses less digits than its factorization.

449158686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 449158686720 in words is "four hundred forty-nine billion, one hundred fifty-eight million, six hundred eighty-six thousand, seven hundred twenty".