396306432 has 120 divisors (see below), whose sum is σ = 1184233050. Its totient is φ = 132046848.

The previous prime is 396306419. The next prime is 396306433. The reversal of 396306432 is 234603693.

396306432 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 372335616 + 23970816 = 19296^2 + 4896^2 .

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 (396306433) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 164694 + ... + 167082.

Almost surely, 2^396306432 is an apocalyptic number.

396306432 is a gapful number since it is divisible by the number (32) 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 396306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592116525).

396306432 is an abundant number, since it is smaller than the sum of its proper divisors (787926618).

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

396306432 is an equidigital number, since it uses as much as digits as its factorization.

396306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 396306432 is about 19907.4466469208. The cubic root of 396306432 is about 734.5314131105.

The spelling of 396306432 in words is "three hundred ninety-six million, three hundred six thousand, four hundred thirty-two".