390007200 has 432 divisors, whose sum is σ = 1496154240. Its totient is φ = 87859200.

The previous prime is 390007193. The next prime is 390007207. The reversal of 390007200 is 2700093.

It is an interprime number because it is at equal distance from previous prime (390007193) and next prime (390007207).

It is not an unprimeable number, because it can be changed into a prime (390007207) 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, 4936761 + ... + 4936839.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 2^390007200 is an apocalyptic number.

390007200 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 390007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748077120).

390007200 is an abundant number, since it is smaller than the sum of its proper divisors (1106147040).

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

390007200 is a wasteful number, since it uses less digits than its factorization.

390007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 390007200 is about 19748.5999503762. The cubic root of 390007200 is about 730.6188534670.

Adding to 390007200 its reverse (2700093), we get a palindrome (392707293).

The spelling of 390007200 in words is "three hundred ninety million, seven thousand, two hundred".