396031272 has 128 divisors (see below), whose sum is σ = 1227744000. Its totient is φ = 103661568.

The previous prime is 396031253. The next prime is 396031277. The reversal of 396031272 is 272130693.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (396031277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324808 + ... + 326024.

It is an arithmetic number, because the mean of its divisors is an integer number (9591750).

Almost surely, 2^396031272 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 396031272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613872000).

396031272 is an abundant number, since it is smaller than the sum of its proper divisors (831712728).

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

396031272 is a wasteful number, since it uses less digits than its factorization.

396031272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 396031272 is about 19900.5344651846. The cubic root of 396031272 is about 734.3613759525.

The spelling of 396031272 in words is "three hundred ninety-six million, thirty-one thousand, two hundred seventy-two".