396068400 has 720 divisors, whose sum is σ = 1800837120. Its totient is φ = 80870400.

The previous prime is 396068381. The next prime is 396068443. The reversal of 396068400 is 4860693.

396068400 is a `hidden beast` number, since 3 + 9 + 606 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12776385 + ... + 12776415.

Almost surely, 2^396068400 is an apocalyptic number.

396068400 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 396068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900418560).

396068400 is an abundant number, since it is smaller than the sum of its proper divisors (1404768720).

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

396068400 is a wasteful number, since it uses less digits than its factorization.

396068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 396068400 is about 19901.4672825900. The cubic root of 396068400 is about 734.3843240705.

The spelling of 396068400 in words is "three hundred ninety-six million, sixty-eight thousand, four hundred".