396552000 has 448 divisors, whose sum is σ = 1491130368. Its totient is φ = 92160000.

The previous prime is 396551963. The next prime is 396552001. The reversal of 396552000 is 255693.

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 (396552001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9671980 + ... + 9672020.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416).

Almost surely, 2^396552000 is an apocalyptic number.

396552000 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 396552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745565184).

396552000 is an abundant number, since it is smaller than the sum of its proper divisors (1094578368).

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

396552000 is a wasteful number, since it uses less digits than its factorization.

396552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 396552000 is about 19913.6134340305. The cubic root of 396552000 is about 734.6830972215.

The spelling of 396552000 in words is "three hundred ninety-six million, five hundred fifty-two thousand".