312164300 has 144 divisors (see below), whose sum is σ = 833280000. Its totient is φ = 101183040.

The previous prime is 312164299. The next prime is 312164309. The reversal of 312164300 is 3461213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (312164309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651461 + ... + 651939.

Almost surely, 2^312164300 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 312164300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640000).

312164300 is an abundant number, since it is smaller than the sum of its proper divisors (521115700).

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

312164300 is a wasteful number, since it uses less digits than its factorization.

312164300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 312164300 is about 17668.1719484501. The cubic root of 312164300 is about 678.3613224202.

The spelling of 312164300 in words is "three hundred twelve million, one hundred sixty-four thousand, three hundred".