449706369684 has 288 divisors, whose sum is σ = 1285492723200. Its totient is φ = 121150149120.

The previous prime is 449706369649. The next prime is 449706369689. The reversal of 449706369684 is 486963607944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449706369689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400450347 + ... + 400451469.

It is an arithmetic number, because the mean of its divisors is an integer number (4463516400).

Almost surely, 2^449706369684 is an apocalyptic number.

449706369684 is a gapful number since it is divisible by the number (44) 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 449706369684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642746361600).

449706369684 is an abundant number, since it is smaller than the sum of its proper divisors (835786353516).

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

449706369684 is a wasteful number, since it uses less digits than its factorization.

449706369684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 66.

The spelling of 449706369684 in words is "four hundred forty-nine billion, seven hundred six million, three hundred sixty-nine thousand, six hundred eighty-four".