315442200 has 96 divisors (see below), whose sum is σ = 982080000. Its totient is φ = 83756160.

The previous prime is 315442189. The next prime is 315442201. The reversal of 315442200 is 2244513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315442201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156801 + ... + 158799.

It is an arithmetic number, because the mean of its divisors is an integer number (10230000).

Almost surely, 2^315442200 is an apocalyptic number.

315442200 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 315442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040000).

315442200 is an abundant number, since it is smaller than the sum of its proper divisors (666637800).

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

315442200 is a wasteful number, since it uses less digits than its factorization.

315442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 315442200 is about 17760.6925540644. The cubic root of 315442200 is about 680.7274510363.

Adding to 315442200 its reverse (2244513), we get a palindrome (317686713).

It can be divided in two parts, 3154 and 42200, that added together give a palindrome (45354).

The spelling of 315442200 in words is "three hundred fifteen million, four hundred forty-two thousand, two hundred".