397600 has 72 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 134400.

The previous prime is 397597. The next prime is 397633. The reversal of 397600 is 6793.

397600 = T₁₈₄ + T₁₈₅ + ... + T₂₀₄.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5565 + ... + 5635.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2³⁹⁷⁶⁰⁰ 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 397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

397600 is an abundant number, since it is smaller than the sum of its proper divisors (727328).

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

397600 is a wasteful number, since it uses less digits than its factorization.

397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 397600 is about 630.5553108174. Note that the first 3 decimals coincide. The cubic root of 397600 is about 73.5329730040.

The spelling of 397600 in words is "three hundred ninety-seven thousand, six hundred".