449993232 has 240 divisors, whose sum is σ = 1459698240. Its totient is φ = 133249536.

The previous prime is 449993231. The next prime is 449993249. The reversal of 449993232 is 232399944.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (449993231) 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, 1465623 + ... + 1465929.

It is an arithmetic number, because the mean of its divisors is an integer number (6082076).

Almost surely, 2^449993232 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 449993232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729849120).

449993232 is an abundant number, since it is smaller than the sum of its proper divisors (1009705008).

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

449993232 is a wasteful number, since it uses less digits than its factorization.

449993232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 449993232 is about 21213.0439117068. The cubic root of 449993232 is about 766.3055906097.

The spelling of 449993232 in words is "four hundred forty-nine million, nine hundred ninety-three thousand, two hundred thirty-two".