312180480 has 180 divisors, whose sum is σ = 1117409832. Its totient is φ = 83220480.

The previous prime is 312180419. The next prime is 312180481. The reversal of 312180480 is 84081213.

312180480 is a `hidden beast` number, since 3 + 1 + 2 + 180 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312180481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102175 + ... + 105185.

Almost surely, 2^312180480 is an apocalyptic number.

312180480 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 312180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558704916).

312180480 is an abundant number, since it is smaller than the sum of its proper divisors (805229352).

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

312180480 is an equidigital number, since it uses as much as digits as its factorization.

312180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 312180480 is about 17668.6298280314. The cubic root of 312180480 is about 678.3730424200.

The spelling of 312180480 in words is "three hundred twelve million, one hundred eighty thousand, four hundred eighty".