312039420 has 384 divisors, whose sum is σ = 1201858560. Its totient is φ = 58490880.

The previous prime is 312039419. The next prime is 312039457. The reversal of 312039420 is 24930213.

312039420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2277592 + ... + 2277728.

It is an arithmetic number, because the mean of its divisors is an integer number (3129840).

Almost surely, 2^312039420 is an apocalyptic number.

312039420 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 312039420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600929280).

312039420 is an abundant number, since it is smaller than the sum of its proper divisors (889819140).

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

312039420 is a wasteful number, since it uses less digits than its factorization.

312039420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 312039420 is about 17664.6375564289. The cubic root of 312039420 is about 678.2708518348.

Adding to 312039420 its reverse (24930213), we get a palindrome (336969633).

The spelling of 312039420 in words is "three hundred twelve million, thirty-nine thousand, four hundred twenty".