311485356 has 324 divisors, whose sum is σ = 1070098848. Its totient is φ = 75672576.

The previous prime is 311485301. The next prime is 311485357. The reversal of 311485356 is 653584113.

311485356 is a `hidden beast` number, since 3 + 114 + 8 + 535 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 311485356.

It is not an unprimeable number, because it can be changed into a prime (311485357) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 6627325 + ... + 6627371.

Almost surely, 2^311485356 is an apocalyptic number.

311485356 is a gapful number since it is divisible by the number (36) 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 311485356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535049424).

311485356 is an abundant number, since it is smaller than the sum of its proper divisors (758613492).

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

311485356 is a wasteful number, since it uses less digits than its factorization.

311485356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 311485356 is about 17648.9477306722. The cubic root of 311485356 is about 677.8691631524.

The spelling of 311485356 in words is "three hundred eleven million, four hundred eighty-five thousand, three hundred fifty-six".