312545200 has 120 divisors (see below), whose sum is σ = 825322176. Its totient is φ = 112800000.

The previous prime is 312545161. The next prime is 312545201. The reversal of 312545200 is 2545213.

312545200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (312545201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104259 + ... + 1104541.

Almost surely, 2^312545200 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 312545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412661088).

312545200 is an abundant number, since it is smaller than the sum of its proper divisors (512776976).

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

312545200 is a wasteful number, since it uses less digits than its factorization.

312545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 312545200 is about 17678.9479324987. The cubic root of 312545200 is about 678.6371203518.

The spelling of 312545200 in words is "three hundred twelve million, five hundred forty-five thousand, two hundred".