449331300 has 324 divisors, whose sum is σ = 1633155888. Its totient is φ = 106272000.

The previous prime is 449331299. The next prime is 449331313. The reversal of 449331300 is 3133944.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10959280 + ... + 10959320.

Almost surely, 2^449331300 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 449331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816577944).

449331300 is an abundant number, since it is smaller than the sum of its proper divisors (1183824588).

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

449331300 is a wasteful number, since it uses less digits than its factorization.

449331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 449331300 is about 21197.4361657253. The cubic root of 449331300 is about 765.9296656147.

The spelling of 449331300 in words is "four hundred forty-nine million, three hundred thirty-one thousand, three hundred".