312396480 has 448 divisors, whose sum is σ = 1272844800. Its totient is φ = 71331840.

The previous prime is 312396473. The next prime is 312396481. The reversal of 312396480 is 84693213.

312396480 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 9 + 648 + 0 = 666.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (312396481) 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 63 ways as a sum of consecutive naturals, for example, 1805674 + ... + 1805846.

Almost surely, 2^312396480 is an apocalyptic number.

312396480 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 312396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636422400).

312396480 is an abundant number, since it is smaller than the sum of its proper divisors (960448320).

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

312396480 is a wasteful number, since it uses less digits than its factorization.

312396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 312396480 is about 17674.7412993797. The cubic root of 312396480 is about 678.5294634700.

The spelling of 312396480 in words is "three hundred twelve million, three hundred ninety-six thousand, four hundred eighty".