396432144 has 60 divisors (see below), whose sum is σ = 1150561776. Its totient is φ = 132142752.

The previous prime is 396432143. The next prime is 396432149. The reversal of 396432144 is 441234693.

It is a happy number.

396432144 is a `hidden beast` number, since 3 + 9 + 643 + 2 + 1 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 396432099 and 396432108.

It is not an unprimeable number, because it can be changed into a prime (396432143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47094 + ... + 54869.

Almost surely, 2^396432144 is an apocalyptic number.

It is an amenable number.

396432144 is an abundant number, since it is smaller than the sum of its proper divisors (754129632).

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

396432144 is a wasteful number, since it uses less digits than its factorization.

396432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101986 (or 101968 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 396432144 is about 19910.6038080215. The cubic root of 396432144 is about 734.6090715785.

The spelling of 396432144 in words is "three hundred ninety-six million, four hundred thirty-two thousand, one hundred forty-four".