396613800 has 288 divisors, whose sum is σ = 1504070400. Its totient is φ = 95990400.

The previous prime is 396613793. The next prime is 396613807. The reversal of 396613800 is 8316693.

It is a happy number.

396613800 is a `hidden beast` number, since 39 + 6 + 613 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396613793) and next prime (396613807).

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

It is not an unprimeable number, because it can be changed into a prime (396613807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653097 + ... + 653703.

Almost surely, 2^396613800 is an apocalyptic number.

396613800 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 396613800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752035200).

396613800 is an abundant number, since it is smaller than the sum of its proper divisors (1107456600).

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

396613800 is a wasteful number, since it uses less digits than its factorization.

396613800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 396613800 is about 19915.1650758913. The cubic root of 396613800 is about 734.7212604023.

It can be divided in two parts, 3966 and 13800, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 396613800 in words is "three hundred ninety-six million, six hundred thirteen thousand, eight hundred".