397632 has 56 divisors (see below), whose sum is σ = 1117600. Its totient is φ = 124416.

The previous prime is 397597. The next prime is 397633. The reversal of 397632 is 236793.

It is a happy number.

It is a super-2 number, since 2×397632² = 316222414848, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 9 + 6⁷ + 7⁶ + 3 + 2⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 397632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3594 + ... + 3702.

2³⁹⁷⁶³² is an apocalyptic number.

397632 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 397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558800).

397632 is an abundant number, since it is smaller than the sum of its proper divisors (719968).

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

397632 is a wasteful number, since it uses less digits than its factorization.

397632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 397632 is about 630.5806847660. The cubic root of 397632 is about 73.5349456666.

The spelling of 397632 in words is "three hundred ninety-seven thousand, six hundred thirty-two".