449793529416 has 960 divisors, whose sum is σ = 1672097644800. Its totient is φ = 112493525760.

The previous prime is 449793529399. The next prime is 449793529429. The reversal of 449793529416 is 614925397944.

449793529416 is a `hidden beast` number, since 4 + 4 + 9 + 7 + 93 + 529 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1225595265 + ... + 1225595631.

It is an arithmetic number, because the mean of its divisors is an integer number (1741768380).

Almost surely, 2^449793529416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449793529416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836048822400).

449793529416 is an abundant number, since it is smaller than the sum of its proper divisors (1222304115384).

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

449793529416 is a wasteful number, since it uses less digits than its factorization.

449793529416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 419 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 449793529416 in words is "four hundred forty-nine billion, seven hundred ninety-three million, five hundred twenty-nine thousand, four hundred sixteen".