449920632 has 64 divisors (see below), whose sum is σ = 1299974400. Its totient is φ = 127100160.

The previous prime is 449920609. The next prime is 449920637. The reversal of 449920632 is 236029944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449920637) 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, 94 + ... + 29997.

It is an arithmetic number, because the mean of its divisors is an integer number (20312100).

Almost surely, 2^449920632 is an apocalyptic number.

449920632 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 449920632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649987200).

449920632 is an abundant number, since it is smaller than the sum of its proper divisors (850053768).

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

449920632 is a wasteful number, since it uses less digits than its factorization.

449920632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30196 (or 30192 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 449920632 is about 21211.3326314025. The cubic root of 449920632 is about 766.2643775616.

The spelling of 449920632 in words is "four hundred forty-nine million, nine hundred twenty thousand, six hundred thirty-two".