905280 has 112 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 225280.

The previous prime is 905269. The next prime is 905291. The reversal of 905280 is 82509.

It is an interprime number because it is at equal distance from previous prime (905269) and next prime (905291).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 905280.

It is an unprimeable number.

905280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22060 + ... + 22100.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2⁹⁰⁵²⁸⁰ 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 905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

905280 is an abundant number, since it is smaller than the sum of its proper divisors (2167104).

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

905280 is a wasteful number, since it uses less digits than its factorization.

905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 905280 is about 951.4620328736. The cubic root of 905280 is about 96.7373772500.

Adding to 905280 its reverse (82509), we get a palindrome (987789).

The spelling of 905280 in words is "nine hundred five thousand, two hundred eighty".