449500752 has 100 divisors (see below), whose sum is σ = 1311709696. Its totient is φ = 148599360.

The previous prime is 449500747. The next prime is 449500759. The reversal of 449500752 is 257005944.

It is a super-4 number, since 4×449500752⁴ (a number of 36 digits) contains 4444 as substring.

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 (449500759) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163227 + ... + 165957.

Almost surely, 2^449500752 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 449500752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655854848).

449500752 is an abundant number, since it is smaller than the sum of its proper divisors (862208944).

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

449500752 is a wasteful number, since it uses less digits than its factorization.

449500752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 449500752 is about 21201.4327817721. The cubic root of 449500752 is about 766.0259360814.

The spelling of 449500752 in words is "four hundred forty-nine million, five hundred thousand, seven hundred fifty-two".