90450 has 48 divisors (see below), whose sum is σ = 252960. Its totient is φ = 23760.

The previous prime is 90439. The next prime is 90469. The reversal of 90450 is 5409.

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (5270).

2⁹⁰⁴⁵⁰ is an apocalyptic number.

90450 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 90450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126480).

90450 is an abundant number, since it is smaller than the sum of its proper divisors (162510).

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

90450 is a wasteful number, since it uses less digits than its factorization.

90450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

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

The square root of 90450 is about 300.7490648365. The cubic root of 90450 is about 44.8886134059. Note that the first 3 decimals are identical.

Adding to 90450 its reverse (5409), we get a palindrome (95859).

The spelling of 90450 in words is "ninety thousand, four hundred fifty".