396132120 has 80 divisors (see below), whose sum is σ = 1331454960. Its totient is φ = 105634368.

The previous prime is 396132067. The next prime is 396132127. The reversal of 396132120 is 21231693.

396132120 is a `hidden beast` number, since 3 + 9 + 613 + 21 + 20 = 666.

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 (396132127) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 57892 + ... + 64371.

It is an arithmetic number, because the mean of its divisors is an integer number (16643187).

Almost surely, 2^396132120 is an apocalyptic number.

396132120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396132120 is an abundant number, since it is smaller than the sum of its proper divisors (935322840).

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

396132120 is a wasteful number, since it uses less digits than its factorization.

396132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122286 (or 122273 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 396132120 is about 19903.0681051942. The cubic root of 396132120 is about 734.4237048609.

The spelling of 396132120 in words is "three hundred ninety-six million, one hundred thirty-two thousand, one hundred twenty".