449468600 has 96 divisors (see below), whose sum is σ = 1226722080. Its totient is φ = 149921280.

The previous prime is 449468581. The next prime is 449468633. The reversal of 449468600 is 6864944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47462 + ... + 56138.

It is an arithmetic number, because the mean of its divisors is an integer number (12778355).

Almost surely, 2^449468600 is an apocalyptic number.

449468600 is a gapful number since it is divisible by the number (40) 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 449468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613361040).

449468600 is an abundant number, since it is smaller than the sum of its proper divisors (777253480).

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

449468600 is a wasteful number, since it uses less digits than its factorization.

449468600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8737 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 449468600 is about 21200.6745175714. The cubic root of 449468600 is about 766.0076714823.

The spelling of 449468600 in words is "four hundred forty-nine million, four hundred sixty-eight thousand, six hundred".