900480 has 128 divisors (see below), whose sum is σ = 3329280. Its totient is φ = 202752.

The previous prime is 900461. The next prime is 900481. The reversal of 900480 is 84009.

900480 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900481) by changing a digit.

900480 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 15 ways as a sum of consecutive naturals, for example, 13407 + ... + 13473.

It is an arithmetic number, because the mean of its divisors is an integer number (26010).

2⁹⁰⁰⁴⁸⁰ 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 900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664640).

900480 is an abundant number, since it is smaller than the sum of its proper divisors (2428800).

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

900480 is a wasteful number, since it uses less digits than its factorization.

900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

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

The square root of 900480 is about 948.9362465414. The cubic root of 900480 is about 96.5660996658.

Adding to 900480 its reverse (84009), we get a palindrome (984489).

The spelling of 900480 in words is "nine hundred thousand, four hundred eighty".