312162480 has 240 divisors, whose sum is σ = 1207761984. Its totient is φ = 70778880.

The previous prime is 312162443. The next prime is 312162481. The reversal of 312162480 is 84261213.

312162480 is a `hidden beast` number, since 3 + 121 + 62 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (312162481) 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 47 ways as a sum of consecutive naturals, for example, 1214512 + ... + 1214768.

Almost surely, 2^312162480 is an apocalyptic number.

312162480 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 312162480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603880992).

312162480 is an abundant number, since it is smaller than the sum of its proper divisors (895599504).

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

312162480 is a wasteful number, since it uses less digits than its factorization.

312162480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 312162480 is about 17668.1204433296. The cubic root of 312162480 is about 678.3600040760.

The spelling of 312162480 in words is "three hundred twelve million, one hundred sixty-two thousand, four hundred eighty".