449036532 has 72 divisors (see below), whose sum is σ = 1306032000. Its totient is φ = 127424448.

The previous prime is 449036531. The next prime is 449036537. The reversal of 449036532 is 235630944.

449036532 is a `hidden beast` number, since 4 + 4 + 90 + 36 + 532 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449036531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31569 + ... + 43527.

Almost surely, 2^449036532 is an apocalyptic number.

449036532 is a gapful number since it is divisible by the number (42) 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 449036532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653016000).

449036532 is an abundant number, since it is smaller than the sum of its proper divisors (856995468).

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

449036532 is a wasteful number, since it uses less digits than its factorization.

449036532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12125 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 449036532 is about 21190.4821087204. The cubic root of 449036532 is about 765.7621419015.

The spelling of 449036532 in words is "four hundred forty-nine million, thirty-six thousand, five hundred thirty-two".