90480000 has 320 divisors, whose sum is σ = 334580400. Its totient is φ = 21504000.

The previous prime is 90479969. The next prime is 90480023. The reversal of 90480000 is 8409.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3119986 + ... + 3120014.

Almost surely, 2^90480000 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 90480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167290200).

90480000 is an abundant number, since it is smaller than the sum of its proper divisors (244100400).

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

90480000 is a wasteful number, since it uses less digits than its factorization.

90480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

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

The square root of 90480000 is about 9512.0975604753. The cubic root of 90480000 is about 448.9357566694.

Adding to 90480000 its reverse (8409), we get a palindrome (90488409).

The spelling of 90480000 in words is "ninety million, four hundred eighty thousand".