90450483200 has 288 divisors, whose sum is σ = 279612103680. Its totient is φ = 28191129600.

The previous prime is 90450483197. The next prime is 90450483247. The reversal of 90450483200 is 238405409.

It is a super-2 number, since 2×90450483200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3930929 + ... + 3953871.

It is an arithmetic number, because the mean of its divisors is an integer number (970875360).

Almost surely, 2^90450483200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90450483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139806051840).

90450483200 is an abundant number, since it is smaller than the sum of its proper divisors (189161620480).

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

90450483200 is a wasteful number, since it uses less digits than its factorization.

90450483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22993 (or 22968 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 90450483200 its reverse (238405409), we get a palindrome (90688888609).

The spelling of 90450483200 in words is "ninety billion, four hundred fifty million, four hundred eighty-three thousand, two hundred".