449950319280 has 2880 divisors, whose sum is σ = 2216398141440. Its totient is φ = 81895587840.

The previous prime is 449950319261. The next prime is 449950319333. The reversal of 449950319280 is 82913059944.

449950319280 is a `hidden beast` number, since 4 + 49 + 9 + 5 + 0 + 319 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12160819422 + ... + 12160819458.

It is an arithmetic number, because the mean of its divisors is an integer number (769582688).

Almost surely, 2^449950319280 is an apocalyptic number.

449950319280 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 449950319280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108199070720).

449950319280 is an abundant number, since it is smaller than the sum of its proper divisors (1766447822160).

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

449950319280 is a wasteful number, since it uses less digits than its factorization.

449950319280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 449950319280 in words is "four hundred forty-nine billion, nine hundred fifty million, three hundred nineteen thousand, two hundred eighty".