90000480 has 96 divisors (see below), whose sum is σ = 286572384. Its totient is φ = 23740416.

The previous prime is 90000479. The next prime is 90000551. The reversal of 90000480 is 8400009.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45594 + ... + 47526.

It is an arithmetic number, because the mean of its divisors is an integer number (2985129).

Almost surely, 2^90000480 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 90000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143286192).

90000480 is an abundant number, since it is smaller than the sum of its proper divisors (196571904).

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

90000480 is a wasteful number, since it uses less digits than its factorization.

90000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 90000480 is about 9486.8582786927. The cubic root of 90000480 is about 448.1412713485.

Adding to 90000480 its reverse (8400009), we get a palindrome (98400489).

The spelling of 90000480 in words is "ninety million, four hundred eighty", and thus it is an aban number.