311376420 has 192 divisors, whose sum is σ = 1038562560. Its totient is φ = 77174784.

The previous prime is 311376419. The next prime is 311376449. The reversal of 311376420 is 24673113.

311376420 is a `hidden beast` number, since 3 + 1 + 13 + 7 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 982102 + ... + 982418.

It is an arithmetic number, because the mean of its divisors is an integer number (5409180).

Almost surely, 2^311376420 is an apocalyptic number.

311376420 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 311376420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519281280).

311376420 is an abundant number, since it is smaller than the sum of its proper divisors (727186140).

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

311376420 is a wasteful number, since it uses less digits than its factorization.

311376420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

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

The square root of 311376420 is about 17645.8612711310. The cubic root of 311376420 is about 677.7901300465.

The spelling of 311376420 in words is "three hundred eleven million, three hundred seventy-six thousand, four hundred twenty".