312417680 has 20 divisors (see below), whose sum is σ = 726371292. Its totient is φ = 124967040.

The previous prime is 312417673. The next prime is 312417683. The reversal of 312417680 is 86714213.

It can be written as a sum of positive squares in 2 ways, for example, as 153859216 + 158558464 = 12404^2 + 12592^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (312417683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1952531 + ... + 1952690.

Almost surely, 2^312417680 is an apocalyptic number.

It is an amenable number.

312417680 is an abundant number, since it is smaller than the sum of its proper divisors (413953612).

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

312417680 is a wasteful number, since it uses less digits than its factorization.

312417680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905234 (or 3905228 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 312417680 is about 17675.3410150978. The cubic root of 312417680 is about 678.5448120202.

The spelling of 312417680 in words is "three hundred twelve million, four hundred seventeen thousand, six hundred eighty".