320405130 has 48 divisors (see below), whose sum is σ = 838679400. Its totient is φ = 84864384.

The previous prime is 320405117. The next prime is 320405143. The reversal of 320405130 is 31504023.

It is an interprime number because it is at equal distance from previous prime (320405117) and next prime (320405143).

It can be written as a sum of positive squares in 4 ways, for example, as 264290049 + 56115081 = 16257^2 + 7491^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464 + ... + 25356.

Almost surely, 2^320405130 is an apocalyptic number.

320405130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320405130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419339700).

320405130 is an abundant number, since it is smaller than the sum of its proper divisors (518274270).

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

320405130 is a wasteful number, since it uses less digits than its factorization.

320405130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24055 (or 24052 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 320405130 is about 17899.8639659635. The cubic root of 320405130 is about 684.2789080072.

Adding to 320405130 its reverse (31504023), we get a palindrome (351909153).

It can be divided in two parts, 320 and 405130, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 320405130 in words is "three hundred twenty million, four hundred five thousand, one hundred thirty".