449800272 has 60 divisors (see below), whose sum is σ = 1270409140. Its totient is φ = 148552704.

The previous prime is 449800261. The next prime is 449800277. The reversal of 449800272 is 272008944.

It can be written as a sum of positive squares in 2 ways, for example, as 198133776 + 251666496 = 14076^2 + 15864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449800277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368 + ... + 30024.

Almost surely, 2^449800272 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 449800272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635204570).

449800272 is an abundant number, since it is smaller than the sum of its proper divisors (820608868).

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

449800272 is a wasteful number, since it uses less digits than its factorization.

449800272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28780 (or 28771 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 449800272 is about 21208.4952790150. The cubic root of 449800272 is about 766.1960426901.

The spelling of 449800272 in words is "four hundred forty-nine million, eight hundred thousand, two hundred seventy-two".