320264280 has 256 divisors, whose sum is σ = 1237478400. Its totient is φ = 73063296.

The previous prime is 320264257. The next prime is 320264281. The reversal of 320264280 is 82462023.

320264280 is a `hidden beast` number, since 320 + 2 + 64 + 280 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320264281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612099 + ... + 612621.

It is an arithmetic number, because the mean of its divisors is an integer number (4833900).

Almost surely, 2^320264280 is an apocalyptic number.

320264280 is a gapful number since it is divisible by the number (30) 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 320264280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618739200).

320264280 is an abundant number, since it is smaller than the sum of its proper divisors (917214120).

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

320264280 is an equidigital number, since it uses as much as digits as its factorization.

320264280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 320264280 is about 17895.9291460377. The cubic root of 320264280 is about 684.1786237092.

The spelling of 320264280 in words is "three hundred twenty million, two hundred sixty-four thousand, two hundred eighty".