314541200 has 60 divisors (see below), whose sum is σ = 795477360. Its totient is φ = 119191680.

The previous prime is 314541197. The next prime is 314541203. The reversal of 314541200 is 2145413.

It is an interprime number because it is at equal distance from previous prime (314541197) and next prime (314541203).

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 (314541203) 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 11 ways as a sum of consecutive naturals, for example, 13094 + ... + 28293.

It is an arithmetic number, because the mean of its divisors is an integer number (13257956).

Almost surely, 2^314541200 is an apocalyptic number.

It is an amenable number.

314541200 is an abundant number, since it is smaller than the sum of its proper divisors (480936160).

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

314541200 is a wasteful number, since it uses less digits than its factorization.

314541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41424 (or 41413 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 314541200 is about 17735.3094137091. The cubic root of 314541200 is about 680.0787106120.

Adding to 314541200 its reverse (2145413), we get a palindrome (316686613).

The spelling of 314541200 in words is "three hundred fourteen million, five hundred forty-one thousand, two hundred".