90000450 has 96 divisors (see below), whose sum is σ = 250132800. Its totient is φ = 23794560.

The previous prime is 90000439. The next prime is 90000451. The reversal of 90000450 is 5400009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90000451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219846 + ... + 220254.

It is an arithmetic number, because the mean of its divisors is an integer number (2605550).

Almost surely, 2^90000450 is an apocalyptic number.

90000450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125066400).

90000450 is an abundant number, since it is smaller than the sum of its proper divisors (160132350).

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

90000450 is a wasteful number, since it uses less digits than its factorization.

90000450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 90000450 is about 9486.8566975579. The cubic root of 90000450 is about 448.1412215553.

Adding to 90000450 its reverse (5400009), we get a palindrome (95400459).

The spelling of 90000450 in words is "ninety million, four hundred fifty", and thus it is an aban number.