396230400 has 216 divisors, whose sum is σ = 1453570160. Its totient is φ = 105615360.

The previous prime is 396230381. The next prime is 396230411. The reversal of 396230400 is 4032693.

396230400 is a `hidden beast` number, since 39 + 623 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171654 + ... + 173946.

Almost surely, 2^396230400 is an apocalyptic number.

396230400 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 396230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726785080).

396230400 is an abundant number, since it is smaller than the sum of its proper divisors (1057339760).

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

396230400 is a wasteful number, since it uses less digits than its factorization.

396230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 396230400 is about 19905.5369181542. The cubic root of 396230400 is about 734.4844364449.

The spelling of 396230400 in words is "three hundred ninety-six million, two hundred thirty thousand, four hundred".