390631200 has 288 divisors, whose sum is σ = 1346538816. Its totient is φ = 98242560.

The previous prime is 390631187. The next prime is 390631207. The reversal of 390631200 is 2136093.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (390631207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4706359 + ... + 4706441.

It is an arithmetic number, because the mean of its divisors is an integer number (4675482).

Almost surely, 2^390631200 is an apocalyptic number.

390631200 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 390631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673269408).

390631200 is an abundant number, since it is smaller than the sum of its proper divisors (955907616).

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

390631200 is a wasteful number, since it uses less digits than its factorization.

390631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 390631200 is about 19764.3922244019. The cubic root of 390631200 is about 731.0083020336.

Adding to 390631200 its reverse (2136093), we get a palindrome (392767293).

The spelling of 390631200 in words is "three hundred ninety million, six hundred thirty-one thousand, two hundred".