396606600 has 288 divisors, whose sum is σ = 1520293320. Its totient is φ = 91791360.

The previous prime is 396606593. The next prime is 396606667. The reversal of 396606600 is 6606693.

It can be written as a sum of positive squares in 12 ways, for example, as 61496964 + 335109636 = 7842^2 + 18306^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397302 + ... + 398298.

Almost surely, 2^396606600 is an apocalyptic number.

396606600 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 396606600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760146660).

396606600 is an abundant number, since it is smaller than the sum of its proper divisors (1123686720).

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

396606600 is a wasteful number, since it uses less digits than its factorization.

396606600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 396606600 is about 19914.9843083041. The cubic root of 396606600 is about 734.7168144105.

The spelling of 396606600 in words is "three hundred ninety-six million, six hundred six thousand, six hundred".