312477984 has 144 divisors (see below), whose sum is σ = 1093764672. Its totient is φ = 82404864.

The previous prime is 312477967. The next prime is 312478027. The reversal of 312477984 is 489774213.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×312477984³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20247 + ... + 32169.

It is an arithmetic number, because the mean of its divisors is an integer number (7595588).

Almost surely, 2^312477984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312477984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546882336).

312477984 is an abundant number, since it is smaller than the sum of its proper divisors (781286688).

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

312477984 is a wasteful number, since it uses less digits than its factorization.

312477984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11959 (or 11948 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 312477984 is about 17677.0468121799. The cubic root of 312477984 is about 678.5884676096.

The spelling of 312477984 in words is "three hundred twelve million, four hundred seventy-seven thousand, nine hundred eighty-four".