387214200 has 288 divisors, whose sum is σ = 1392768000. Its totient is φ = 96180480.

The previous prime is 387214159. The next prime is 387214207. The reversal of 387214200 is 2412783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387214207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1945701 + ... + 1945899.

It is an arithmetic number, because the mean of its divisors is an integer number (4836000).

Almost surely, 2^387214200 is an apocalyptic number.

387214200 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 387214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384000).

387214200 is an abundant number, since it is smaller than the sum of its proper divisors (1005553800).

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

387214200 is a wasteful number, since it uses less digits than its factorization.

387214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 387214200 is about 19677.7590187501. The cubic root of 387214200 is about 728.8705873120.

Adding to 387214200 its reverse (2412783), we get a palindrome (389626983).

The spelling of 387214200 in words is "three hundred eighty-seven million, two hundred fourteen thousand, two hundred".