449785728 has 288 divisors, whose sum is σ = 1579478160. Its totient is φ = 120324096.

The previous prime is 449785681. The next prime is 449785729. The reversal of 449785728 is 827587944.

It is a happy number.

449785728 is a `hidden beast` number, since 4 + 497 + 85 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×449785728² = 404614402224979968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449785729) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2330400 + ... + 2330592.

Almost surely, 2^449785728 is an apocalyptic number.

449785728 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 449785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789739080).

449785728 is an abundant number, since it is smaller than the sum of its proper divisors (1129692432).

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

449785728 is a wasteful number, since it uses less digits than its factorization.

449785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 449785728 is about 21208.1523947750. The cubic root of 449785728 is about 766.1877844504.

The spelling of 449785728 in words is "four hundred forty-nine million, seven hundred eighty-five thousand, seven hundred twenty-eight".