396127200 has 576 divisors, whose sum is σ = 1664893440. Its totient is φ = 79626240.

The previous prime is 396127189. The next prime is 396127201. The reversal of 396127200 is 2721693.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396127201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5426364 + ... + 5426436.

It is an arithmetic number, because the mean of its divisors is an integer number (2890440).

Almost surely, 2^396127200 is an apocalyptic number.

396127200 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 396127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832446720).

396127200 is an abundant number, since it is smaller than the sum of its proper divisors (1268766240).

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

396127200 is a wasteful number, since it uses less digits than its factorization.

396127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 396127200 is about 19902.9445057760. The cubic root of 396127200 is about 734.4206643100.

Adding to 396127200 its reverse (2721693), we get a palindrome (398848893).

The spelling of 396127200 in words is "three hundred ninety-six million, one hundred twenty-seven thousand, two hundred".