396088000 has 224 divisors, whose sum is σ = 1224857088. Its totient is φ = 123264000.

The previous prime is 396087977. The next prime is 396088001. The reversal of 396088000 is 880693.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (396088001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615679 + ... + 616321.

It is an arithmetic number, because the mean of its divisors is an integer number (5468112).

Almost surely, 2^396088000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612428544).

396088000 is an abundant number, since it is smaller than the sum of its proper divisors (828769088).

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

396088000 is a wasteful number, since it uses less digits than its factorization.

396088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 396088000 is about 19901.9597025017. The cubic root of 396088000 is about 734.3964378833.

The spelling of 396088000 in words is "three hundred ninety-six million, eighty-eight thousand".