449934100 has 144 divisors (see below), whose sum is σ = 1235920896. Its totient is φ = 138096000.

The previous prime is 449934061. The next prime is 449934103. The reversal of 449934100 is 1439944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449934103) 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, 546289 + ... + 547111.

It is an arithmetic number, because the mean of its divisors is an integer number (8582784).

Almost surely, 2^449934100 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 449934100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617960448).

449934100 is an abundant number, since it is smaller than the sum of its proper divisors (785986796).

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

449934100 is a wasteful number, since it uses less digits than its factorization.

449934100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 449934100 is about 21211.6501008290. The cubic root of 449934100 is about 766.2720233143.

The spelling of 449934100 in words is "four hundred forty-nine million, nine hundred thirty-four thousand, one hundred".