285304320 has 480 divisors, whose sum is σ = 1187334720. Its totient is φ = 61931520.

The previous prime is 285304309. The next prime is 285304333. The reversal of 285304320 is 23403582.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 4677090 + ... + 4677150.

It is an arithmetic number, because the mean of its divisors is an integer number (2473614).

Almost surely, 2^285304320 is an apocalyptic number.

285304320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593667360).

285304320 is an abundant number, since it is smaller than the sum of its proper divisors (902030400).

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

285304320 is a wasteful number, since it uses less digits than its factorization.

285304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 285304320 is about 16890.9537918970. The cubic root of 285304320 is about 658.3185850815.

The spelling of 285304320 in words is "two hundred eighty-five million, three hundred four thousand, three hundred twenty".