449743536 has 320 divisors, whose sum is σ = 1508474880. Its totient is φ = 127008000.

The previous prime is 449743529. The next prime is 449743549. The reversal of 449743536 is 635347944.

449743536 is a `hidden beast` number, since 4 + 49 + 74 + 3 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 449743491 and 449743500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6334381 + ... + 6334451.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 2^449743536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449743536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754237440).

449743536 is an abundant number, since it is smaller than the sum of its proper divisors (1058731344).

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

449743536 is a wasteful number, since it uses less digits than its factorization.

449743536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 449743536 is about 21207.1576596205. The cubic root of 449743536 is about 766.1638263716.

The spelling of 449743536 in words is "four hundred forty-nine million, seven hundred forty-three thousand, five hundred thirty-six".