90433200 has 480 divisors, whose sum is σ = 371976192. Its totient is φ = 18432000.

The previous prime is 90433181. The next prime is 90433201. The reversal of 90433200 is 233409.

It is not an unprimeable number, because it can be changed into a prime (90433201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2917185 + ... + 2917215.

Almost surely, 2^90433200 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 90433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

90433200 is an abundant number, since it is smaller than the sum of its proper divisors (281542992).

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

90433200 is a wasteful number, since it uses less digits than its factorization.

90433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 90433200 is about 9509.6372170551. The cubic root of 90433200 is about 448.8583406036.

Adding to 90433200 its reverse (233409), we get a palindrome (90666609).

The spelling of 90433200 in words is "ninety million, four hundred thirty-three thousand, two hundred".