396204072 has 96 divisors (see below), whose sum is σ = 1129978080. Its totient is φ = 114801280.

The previous prime is 396204047. The next prime is 396204079. The reversal of 396204072 is 270402693.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (396204079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138238 + ... + 141074.

It is an arithmetic number, because the mean of its divisors is an integer number (11770605).

Almost surely, 2^396204072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396204072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564989040).

396204072 is an abundant number, since it is smaller than the sum of its proper divisors (733774008).

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

396204072 is a wasteful number, since it uses less digits than its factorization.

396204072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 396204072 is about 19904.8755836353. The cubic root of 396204072 is about 734.4681681873.

The spelling of 396204072 in words is "three hundred ninety-six million, two hundred four thousand, seventy-two".