450300000 has 288 divisors, whose sum is σ = 1574899200. Its totient is φ = 112320000.

The previous prime is 450299959. The next prime is 450300041. The reversal of 450300000 is 3054.

It is an interprime number because it is at equal distance from previous prime (450299959) and next prime (450300041).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5699961 + ... + 5700039.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^450300000 is an apocalyptic number.

450300000 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 450300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787449600).

450300000 is an abundant number, since it is smaller than the sum of its proper divisors (1124599200).

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

450300000 is an equidigital number, since it uses as much as digits as its factorization.

450300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 450300000 is about 21220.2733252897. The cubic root of 450300000 is about 766.4796855501.

Adding to 450300000 its reverse (3054), we get a palindrome (450303054).

The spelling of 450300000 in words is "four hundred fifty million, three hundred thousand".