396233520 has 80 divisors (see below), whose sum is σ = 1231394400. Its totient is φ = 105398272.

The previous prime is 396233449. The next prime is 396233527. The reversal of 396233520 is 25332693.

396233520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (396233527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105922 + ... + 109598.

It is an arithmetic number, because the mean of its divisors is an integer number (15392430).

Almost surely, 2^396233520 is an apocalyptic number.

396233520 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 396233520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615697200).

396233520 is an abundant number, since it is smaller than the sum of its proper divisors (835160880).

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

396233520 is a wasteful number, since it uses less digits than its factorization.

396233520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 396233520 is about 19905.6152881542. The cubic root of 396233520 is about 734.4863642672.

The spelling of 396233520 in words is "three hundred ninety-six million, two hundred thirty-three thousand, five hundred twenty".