396221312 has 48 divisors (see below), whose sum is σ = 838588920. Its totient is φ = 186439680.

The previous prime is 396221311. The next prime is 396221339. The reversal of 396221312 is 213122693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396221311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31637 + ... + 42347.

Almost surely, 2^396221312 is an apocalyptic number.

396221312 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 396221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419294460).

396221312 is an abundant number, since it is smaller than the sum of its proper divisors (442367608).

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

396221312 is a wasteful number, since it uses less digits than its factorization.

396221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759 (or 10730 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 396221312 is about 19905.3086386522. The cubic root of 396221312 is about 734.4788209868.

The spelling of 396221312 in words is "three hundred ninety-six million, two hundred twenty-one thousand, three hundred twelve".