396403200 has 480 divisors, whose sum is σ = 1542520320. Its totient is φ = 99532800.

The previous prime is 396403181. The next prime is 396403201. The reversal of 396403200 is 2304693.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396403201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10713582 + ... + 10713618.

It is an arithmetic number, because the mean of its divisors is an integer number (3213584).

Almost surely, 2^396403200 is an apocalyptic number.

396403200 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 396403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771260160).

396403200 is an abundant number, since it is smaller than the sum of its proper divisors (1146117120).

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

396403200 is a wasteful number, since it uses less digits than its factorization.

396403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

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

The square root of 396403200 is about 19909.8769458779. The cubic root of 396403200 is about 734.5911929052.

Adding to 396403200 its reverse (2304693), we get a palindrome (398707893).

The spelling of 396403200 in words is "three hundred ninety-six million, four hundred three thousand, two hundred".