449569440 has 288 divisors, whose sum is σ = 1646701056. Its totient is φ = 115706880.

The previous prime is 449569433. The next prime is 449569441. The reversal of 449569440 is 44965944.

449569440 is a `hidden beast` number, since 4 + 49 + 569 + 4 + 40 = 666.

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

It is a super-2 number, since 2×449569440² = 404225362763827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449569441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205094 + ... + 1205466.

It is an arithmetic number, because the mean of its divisors is an integer number (5717712).

Almost surely, 2^449569440 is an apocalyptic number.

449569440 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 449569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823350528).

449569440 is an abundant number, since it is smaller than the sum of its proper divisors (1197131616).

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

449569440 is a wasteful number, since it uses less digits than its factorization.

449569440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 449569440 is about 21203.0526104144. The cubic root of 449569440 is about 766.0649527826.

The spelling of 449569440 in words is "four hundred forty-nine million, five hundred sixty-nine thousand, four hundred forty".