449051040 has 120 divisors (see below), whose sum is σ = 1584821700. Its totient is φ = 119743488.

The previous prime is 449051023. The next prime is 449051047. The reversal of 449051040 is 40150944.

It can be written as a sum of positive squares in 2 ways, for example, as 422549136 + 26501904 = 20556^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 449050995 and 449051013.

It is not an unprimeable number, because it can be changed into a prime (449051047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4365 + ... + 30284.

Almost surely, 2^449051040 is an apocalyptic number.

449051040 is a gapful number since it is divisible by the number (40) 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 449051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792410850).

449051040 is an abundant number, since it is smaller than the sum of its proper divisors (1135770660).

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

449051040 is a wasteful number, since it uses less digits than its factorization.

449051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34676 (or 34659 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 449051040 is about 21190.8244294553. The cubic root of 449051040 is about 765.7703888605.

The spelling of 449051040 in words is "four hundred forty-nine million, fifty-one thousand, forty".