90450000 has 240 divisors, whose sum is σ = 329353920. Its totient is φ = 23760000.

The previous prime is 90449987. The next prime is 90450071. The reversal of 90450000 is 5409.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 1349967 + ... + 1350033.

It is an arithmetic number, because the mean of its divisors is an integer number (1372308).

Almost surely, 2^90450000 is an apocalyptic number.

90450000 is a gapful number since it is divisible by the number (90) 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 90450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164676960).

90450000 is an abundant number, since it is smaller than the sum of its proper divisors (238903920).

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

90450000 is an equidigital number, since it uses as much as digits as its factorization.

90450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

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

The square root of 90450000 is about 9510.5204904884. The cubic root of 90450000 is about 448.8861340585.

Adding to 90450000 its reverse (5409), we get a palindrome (90455409).

The spelling of 90450000 in words is "ninety million, four hundred fifty thousand".