312286464 has 324 divisors, whose sum is σ = 1109434144. Its totient is φ = 82722816.

The previous prime is 312286439. The next prime is 312286483. The reversal of 312286464 is 464682213.

312286464 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 8 + 646 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (55296) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4660959 + ... + 4661025.

Almost surely, 2^312286464 is an apocalyptic number.

312286464 is a gapful number since it is divisible by the number (34) 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 312286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554717072).

312286464 is an abundant number, since it is smaller than the sum of its proper divisors (797147680).

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

312286464 is a wasteful number, since it uses less digits than its factorization.

312286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 312286464 is about 17671.6287874095. The cubic root of 312286464 is about 678.4498020280.

The spelling of 312286464 in words is "three hundred twelve million, two hundred eighty-six thousand, four hundred sixty-four".