900240 has 120 divisors (see below), whose sum is σ = 3166464. Its totient is φ = 211200.

The previous prime is 900233. The next prime is 900241. The reversal of 900240 is 42009.

900240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900241) by changing a digit.

900240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29025 + ... + 29055.

2⁹⁰⁰²⁴⁰ 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 900240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583232).

900240 is an abundant number, since it is smaller than the sum of its proper divisors (2266224).

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

900240 is a wasteful number, since it uses less digits than its factorization.

900240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 900240 is about 948.8097807253. The cubic root of 900240 is about 96.5575198257.

Adding to 900240 its reverse (42009), we get a palindrome (942249).

It can be divided in two parts, 900 and 240, that multiplied together give a cube (216000 = 60³).

The spelling of 900240 in words is "nine hundred thousand, two hundred forty".