449829900 has 108 divisors (see below), whose sum is σ = 1518465312. Its totient is φ = 110724480.

The previous prime is 449829899. The next prime is 449829931. The reversal of 449829900 is 9928944.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7524 + ... + 30923.

It is an arithmetic number, because the mean of its divisors is an integer number (14059864).

Almost surely, 2^449829900 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 449829900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759232656).

449829900 is an abundant number, since it is smaller than the sum of its proper divisors (1068635412).

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

449829900 is a wasteful number, since it uses less digits than its factorization.

449829900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38480 (or 38470 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 449829900 is about 21209.1937611971. The cubic root of 449829900 is about 766.2128652366.

The spelling of 449829900 in words is "four hundred forty-nine million, eight hundred twenty-nine thousand, nine hundred".