449407440 has 200 divisors, whose sum is σ = 1572899328. Its totient is φ = 118920960.

The previous prime is 449407417. The next prime is 449407447. The reversal of 449407440 is 44704944.

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 = 449407395 and 449407404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449407447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1444885 + ... + 1445195.

Almost surely, 2^449407440 is an apocalyptic number.

449407440 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 449407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786449664).

449407440 is an abundant number, since it is smaller than the sum of its proper divisors (1123491888).

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

449407440 is a wasteful number, since it uses less digits than its factorization.

449407440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 449407440 is about 21199.2320615630. The cubic root of 449407440 is about 765.9729258929.

The spelling of 449407440 in words is "four hundred forty-nine million, four hundred seven thousand, four hundred forty".