320407920 has 160 divisors (see below), whose sum is σ = 1261347840. Its totient is φ = 73232640.

The previous prime is 320407889. The next prime is 320407939. The reversal of 320407920 is 29704023.

It is a super-2 number, since 2×320407920² = 205322470397452800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4525 + ... + 25715.

It is an arithmetic number, because the mean of its divisors is an integer number (7883424).

Almost surely, 2^320407920 is an apocalyptic number.

320407920 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 320407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630673920).

320407920 is an abundant number, since it is smaller than the sum of its proper divisors (940939920).

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

320407920 is a wasteful number, since it uses less digits than its factorization.

320407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21220 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 320407920 is about 17899.9418993470. The cubic root of 320407920 is about 684.2808941725.

The spelling of 320407920 in words is "three hundred twenty million, four hundred seven thousand, nine hundred twenty".