449642752 has 108 divisors (see below), whose sum is σ = 1024902480. Its totient is φ = 196245504.

The previous prime is 449642729. The next prime is 449642761. The reversal of 449642752 is 257246944.

It is a super-2 number, since 2×449642752² = 404357208852267008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449642699 and 449642708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821743 + ... + 822289.

Almost surely, 2^449642752 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 449642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512451240).

449642752 is an abundant number, since it is smaller than the sum of its proper divisors (575259728).

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

449642752 is a wasteful number, since it uses less digits than its factorization.

449642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 581 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 449642752 is about 21204.7813476112. The cubic root of 449642752 is about 766.1065916607.

The spelling of 449642752 in words is "four hundred forty-nine million, six hundred forty-two thousand, seven hundred fifty-two".