396329472 has 240 divisors, whose sum is σ = 1427355072. Its totient is φ = 102850560.

The previous prime is 396329471. The next prime is 396329473. The reversal of 396329472 is 274923693.

396329472 is a `hidden beast` number, since 3 + 9 + 632 + 9 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (396329471) and next prime (396329473).

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

It is not an unprimeable number, because it can be changed into a prime (396329471) 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, 354258 + ... + 355374.

Almost surely, 2^396329472 is an apocalyptic number.

396329472 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 396329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713677536).

396329472 is an abundant number, since it is smaller than the sum of its proper divisors (1031025600).

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

396329472 is a wasteful number, since it uses less digits than its factorization.

396329472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1140 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 396329472 is about 19908.0253164396. The cubic root of 396329472 is about 734.5456472775.

The spelling of 396329472 in words is "three hundred ninety-six million, three hundred twenty-nine thousand, four hundred seventy-two".