449395440 has 80 divisors (see below), whose sum is σ = 1500299808. Its totient is φ = 110619648.

The previous prime is 449395439. The next prime is 449395447. The reversal of 449395440 is 44593944.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×449395440² = 403912522985587200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449395392 and 449395401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449395447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68899 + ... + 75138.

Almost surely, 2^449395440 is an apocalyptic number.

449395440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449395440 is an abundant number, since it is smaller than the sum of its proper divisors (1050904368).

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

449395440 is a wasteful number, since it uses less digits than its factorization.

449395440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144066 (or 144060 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 449395440 is about 21198.9490305534. The cubic root of 449395440 is about 765.9661082065.

The spelling of 449395440 in words is "four hundred forty-nine million, three hundred ninety-five thousand, four hundred forty".