450100000 has 144 divisors (see below), whose sum is σ = 1267793856. Its totient is φ = 154080000.

The previous prime is 450099989. The next prime is 450100031. The reversal of 450100000 is 1054.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 450100000.

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, 699679 + ... + 700321.

It is an arithmetic number, because the mean of its divisors is an integer number (8804124).

Almost surely, 2^450100000 is an apocalyptic number.

450100000 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 450100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633896928).

450100000 is an abundant number, since it is smaller than the sum of its proper divisors (817693856).

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

450100000 is an frugal number, since it uses more digits than its factorization.

450100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 450100000 is about 21215.5603272692. The cubic root of 450100000 is about 766.3661918510.

Adding to 450100000 its reverse (1054), we get a palindrome (450101054).

The spelling of 450100000 in words is "four hundred fifty million, one hundred thousand".