320286420 has 288 divisors, whose sum is σ = 1106058240. Its totient is φ = 76826880.

The previous prime is 320286413. The next prime is 320286433. The reversal of 320286420 is 24682023.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6043114 + ... + 6043166.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^320286420 is an apocalyptic number.

320286420 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 320286420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

320286420 is an abundant number, since it is smaller than the sum of its proper divisors (785771820).

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

320286420 is a wasteful number, since it uses less digits than its factorization.

320286420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

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

The square root of 320286420 is about 17896.5477117795. The cubic root of 320286420 is about 684.1943891948.

The spelling of 320286420 in words is "three hundred twenty million, two hundred eighty-six thousand, four hundred twenty".