90489280 has 168 divisors, whose sum is σ = 260604000. Its totient is φ = 29804544.

The previous prime is 90489277. The next prime is 90489281. The reversal of 90489280 is 8298409.

90489280 = 8² + 9² + ... + 647².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90489281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454621 + ... + 454819.

Almost surely, 2^90489280 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 90489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130302000).

90489280 is an abundant number, since it is smaller than the sum of its proper divisors (170114720).

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

90489280 is a wasteful number, since it uses less digits than its factorization.

90489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 90489280 is about 9512.5853478431. The cubic root of 90489280 is about 448.9511043757.

The spelling of 90489280 in words is "ninety million, four hundred eighty-nine thousand, two hundred eighty".