449662752 has 288 divisors, whose sum is σ = 1655506944. Its totient is φ = 116640000.

The previous prime is 449662747. The next prime is 449662757. The reversal of 449662752 is 257266944.

It is an interprime number because it is at equal distance from previous prime (449662747) and next prime (449662757).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 449662698 and 449662707.

It is not an unprimeable number, because it can be changed into a prime (449662757) 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, 598377 + ... + 599127.

It is an arithmetic number, because the mean of its divisors is an integer number (5748288).

Almost surely, 2^449662752 is an apocalyptic number.

449662752 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 449662752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827753472).

449662752 is an abundant number, since it is smaller than the sum of its proper divisors (1205844192).

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

449662752 is a wasteful number, since it uses less digits than its factorization.

449662752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 449662752 is about 21205.2529341199. The cubic root of 449662752 is about 766.1179502371.

The spelling of 449662752 in words is "four hundred forty-nine million, six hundred sixty-two thousand, seven hundred fifty-two".