90433440 has 72 divisors (see below), whose sum is σ = 308609028. Its totient is φ = 24115200.

The previous prime is 90433411. The next prime is 90433457. The reversal of 90433440 is 4433409.

It can be written as a sum of positive squares in 2 ways, for example, as 81216144 + 9217296 = 9012^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29961 + ... + 32840.

Almost surely, 2^90433440 is an apocalyptic number.

90433440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90433440 is an abundant number, since it is smaller than the sum of its proper divisors (218175588).

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

90433440 is a wasteful number, since it uses less digits than its factorization.

90433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62822 (or 62811 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 90433440 is about 9509.6498358247. The cubic root of 90433440 is about 448.8587376772.

Adding to 90433440 its reverse (4433409), we get a palindrome (94866849).

The spelling of 90433440 in words is "ninety million, four hundred thirty-three thousand, four hundred forty".