311430420 has 240 divisors, whose sum is σ = 1156256640. Its totient is φ = 68656896.

The previous prime is 311430407. The next prime is 311430479. The reversal of 311430420 is 24034113.

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

It is a junction number, because it is equal to n+sod(n) for n = 311430393 and 311430402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328387 + ... + 329333.

It is an arithmetic number, because the mean of its divisors is an integer number (4817736).

Almost surely, 2^311430420 is an apocalyptic number.

311430420 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 311430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578128320).

311430420 is an abundant number, since it is smaller than the sum of its proper divisors (844826220).

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

311430420 is a wasteful number, since it uses less digits than its factorization.

311430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 311430420 is about 17647.3913086326. The cubic root of 311430420 is about 677.8293093689.

Adding to 311430420 its reverse (24034113), we get a palindrome (335464533).

The spelling of 311430420 in words is "three hundred eleven million, four hundred thirty thousand, four hundred twenty".