396225000 has 192 divisors, whose sum is σ = 1378036800. Its totient is φ = 105480000.

The previous prime is 396224987. The next prime is 396225013. The reversal of 396225000 is 522693.

396225000 is a `hidden beast` number, since 39 + 622 + 5 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396224987) and next prime (396225013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674707 + ... + 675293.

It is an arithmetic number, because the mean of its divisors is an integer number (7177275).

Almost surely, 2^396225000 is an apocalyptic number.

396225000 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 396225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689018400).

396225000 is an abundant number, since it is smaller than the sum of its proper divisors (981811800).

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

396225000 is an equidigital number, since it uses as much as digits as its factorization.

396225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 396225000 is about 19905.4012770404. The cubic root of 396225000 is about 734.4810998054.

Adding to 396225000 its reverse (522693), we get a palindrome (396747693).

The spelling of 396225000 in words is "three hundred ninety-six million, two hundred twenty-five thousand".