90439440 has 320 divisors, whose sum is σ = 356977152. Its totient is φ = 18432000.

The previous prime is 90439423. The next prime is 90439451. The reversal of 90439440 is 4493409.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 895390 + ... + 895490.

Almost surely, 2^90439440 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 90439440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576).

90439440 is an abundant number, since it is smaller than the sum of its proper divisors (266537712).

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

90439440 is a wasteful number, since it uses less digits than its factorization.

90439440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 90439440 is about 9509.9652996212. The cubic root of 90439440 is about 448.8686642887.

The spelling of 90439440 in words is "ninety million, four hundred thirty-nine thousand, four hundred forty".