397620 has 54 divisors (see below), whose sum is σ = 1232322. Its totient is φ = 103776.

The previous prime is 397597. The next prime is 397633. The reversal of 397620 is 26793.

397620 is a `hidden beast` number, since 39 + 7 + 620 = 666.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 79524 = 564^2 + 282^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8437 + ... + 8483.

2³⁹⁷⁶²⁰ is an apocalyptic number.

397620 is a gapful number since it is divisible by the number (30) 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 397620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616161).

397620 is an abundant number, since it is smaller than the sum of its proper divisors (834702).

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

397620 is a wasteful number, since it uses less digits than its factorization.

397620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 397620 is about 630.5711696549. The cubic root of 397620 is about 73.5342059305.

The spelling of 397620 in words is "three hundred ninety-seven thousand, six hundred twenty".