449939691878280 has 256 divisors, whose sum is σ = 1361316829593600. Its totient is φ = 118966352762880.

The previous prime is 449939691878251. The next prime is 449939691878317. The reversal of 449939691878280 is 82878196939944.

It is a hoax number, since the sum of its digits (87) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16764385101 + ... + 16764411939.

It is an arithmetic number, because the mean of its divisors is an integer number (5317643865600).

Almost surely, 2^{449939691878280} is an apocalyptic number.

449939691878280 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 449939691878280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680658414796800).

449939691878280 is an abundant number, since it is smaller than the sum of its proper divisors (911377137715320).

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

449939691878280 is a wasteful number, since it uses less digits than its factorization.

449939691878280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29404 (or 29400 counting only the distinct ones).

The product of its (nonzero) digits is 13544423424, while the sum is 87.

The spelling of 449939691878280 in words is "four hundred forty-nine trillion, nine hundred thirty-nine billion, six hundred ninety-one million, eight hundred seventy-eight thousand, two hundred eighty".