396500 has 48 divisors (see below), whose sum is σ = 947856. Its totient is φ = 144000.

The previous prime is 396479. The next prime is 396509. The reversal of 396500 is 5693.

396500 = T₃₀ + T₃₁ + ... + T₁₃₃.

It can be written as a sum of positive squares in 8 ways, for example, as 315844 + 80656 = 562^2 + 284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396509) by changing a digit.

396500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6470 + ... + 6530.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

2³⁹⁶⁵⁰⁰ 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 396500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473928).

396500 is an abundant number, since it is smaller than the sum of its proper divisors (551356).

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

396500 is a wasteful number, since it uses less digits than its factorization.

396500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 396500 is about 629.6824596572. The cubic root of 396500 is about 73.4650982735.

The spelling of 396500 in words is "three hundred ninety-six thousand, five hundred".