397296 has 60 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 126720.

The previous prime is 397289. The next prime is 397297. The reversal of 397296 is 692793.

It is a super-2 number, since 2×397296² = 315688223232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 397296.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 397296.

It is not an unprimeable number, because it can be changed into a prime (397297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4420 + ... + 4508.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2³⁹⁷²⁹⁶ is an apocalyptic number.

397296 is a gapful number since it is divisible by the number (36) 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 397296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

397296 is an abundant number, since it is smaller than the sum of its proper divisors (763344).

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

397296 is a wasteful number, since it uses less digits than its factorization.

397296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 397296 is about 630.3142073601. The cubic root of 397296 is about 73.5142274277.

The spelling of 397296 in words is "three hundred ninety-seven thousand, two hundred ninety-six".