319530420 has 288 divisors, whose sum is σ = 1130088960. Its totient is φ = 75116160.

The previous prime is 319530397. The next prime is 319530427. The reversal of 319530420 is 24035913.

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 (319530427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2298711 + ... + 2298849.

It is an arithmetic number, because the mean of its divisors is an integer number (3923920).

Almost surely, 2^319530420 is an apocalyptic number.

319530420 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 319530420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565044480).

319530420 is an abundant number, since it is smaller than the sum of its proper divisors (810558540).

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

319530420 is a wasteful number, since it uses less digits than its factorization.

319530420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 319530420 is about 17875.4138413632. The cubic root of 319530420 is about 683.6556438393.

The spelling of 319530420 in words is "three hundred nineteen million, five hundred thirty thousand, four hundred twenty".