449159040 has 512 divisors, whose sum is σ = 1850688000. Its totient is φ = 101744640.

The previous prime is 449159033. The next prime is 449159041. The reversal of 449159040 is 40951944.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 449158986 and 449159004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449159041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3231291 + ... + 3231429.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^449159040 is an apocalyptic number.

449159040 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 449159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

449159040 is an abundant number, since it is smaller than the sum of its proper divisors (1401528960).

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

449159040 is a wasteful number, since it uses less digits than its factorization.

449159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 449159040 is about 21193.3725489833. The cubic root of 449159040 is about 765.8317750321.

The spelling of 449159040 in words is "four hundred forty-nine million, one hundred fifty-nine thousand, forty".