449962800 has 480 divisors, whose sum is σ = 1833311232. Its totient is φ = 91914240.

The previous prime is 449962789. The next prime is 449962829. The reversal of 449962800 is 8269944.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3284332 + ... + 3284468.

Almost surely, 2^449962800 is an apocalyptic number.

449962800 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 449962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916655616).

449962800 is an abundant number, since it is smaller than the sum of its proper divisors (1383348432).

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

449962800 is a wasteful number, since it uses less digits than its factorization.

449962800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 449962800 is about 21212.3266050662. The cubic root of 449962800 is about 766.2883157295.

The spelling of 449962800 in words is "four hundred forty-nine million, nine hundred sixty-two thousand, eight hundred".