449820822528 has 1056 divisors, whose sum is σ = 1779389434368. Its totient is φ = 109884211200.

The previous prime is 449820822497. The next prime is 449820822637. The reversal of 449820822528 is 825228028944.

449820822528 is a `hidden beast` number, since 4 + 4 + 98 + 2 + 0 + 8 + 22 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325720398 + ... + 325721778.

Almost surely, 2^449820822528 is an apocalyptic number.

449820822528 is a gapful number since it is divisible by the number (48) 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 449820822528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889694717184).

449820822528 is an abundant number, since it is smaller than the sum of its proper divisors (1329568611840).

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

449820822528 is a wasteful number, since it uses less digits than its factorization.

449820822528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 449820822528 in words is "four hundred forty-nine billion, eight hundred twenty million, eight hundred twenty-two thousand, five hundred twenty-eight".