900288 has 56 divisors (see below), whose sum is σ = 2651760. Its totient is φ = 299520.

The previous prime is 900287. The next prime is 900293. The reversal of 900288 is 882009.

900288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 900288.

It is not an unprimeable number, because it can be changed into a prime (900283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1468 + ... + 1988.

2⁹⁰⁰²⁸⁸ 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 900288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325880).

900288 is an abundant number, since it is smaller than the sum of its proper divisors (1751472).

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

900288 is a wasteful number, since it uses less digits than its factorization.

900288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 900288 is about 948.8350752370. The cubic root of 900288 is about 96.5592359157.

The spelling of 900288 in words is "nine hundred thousand, two hundred eighty-eight".