90447408 has 80 divisors (see below), whose sum is σ = 270935040. Its totient is φ = 28835136.

The previous prime is 90447403. The next prime is 90447449. The reversal of 90447408 is 80474409.

It is a super-2 number, since 2×90447408² = 16361467227836928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90447403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5385 + ... + 14487.

It is an arithmetic number, because the mean of its divisors is an integer number (3386688).

Almost surely, 2^90447408 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 90447408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135467520).

90447408 is an abundant number, since it is smaller than the sum of its proper divisors (180487632).

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

90447408 is a wasteful number, since it uses less digits than its factorization.

90447408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 90447408 is about 9510.3842193678. The cubic root of 90447408 is about 448.8818461500.

The spelling of 90447408 in words is "ninety million, four hundred forty-seven thousand, four hundred eight".