449082252 has 96 divisors (see below), whose sum is σ = 1239840000. Its totient is φ = 140164992.

The previous prime is 449082241. The next prime is 449082269. The reversal of 449082252 is 252280944.

It is a super-2 number, since 2×449082252² = 403349738122783008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181399 + ... + 183857.

It is an arithmetic number, because the mean of its divisors is an integer number (12915000).

Almost surely, 2^449082252 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 449082252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619920000).

449082252 is an abundant number, since it is smaller than the sum of its proper divisors (790757748).

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

449082252 is a wasteful number, since it uses less digits than its factorization.

449082252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 449082252 is about 21191.5608674774. The cubic root of 449082252 is about 765.7881304752.

The spelling of 449082252 in words is "four hundred forty-nine million, eighty-two thousand, two hundred fifty-two".