396880 has 60 divisors (see below), whose sum is σ = 1038996. Its totient is φ = 140800.

The previous prime is 396871. The next prime is 396881. The reversal of 396880 is 88693.

396880 = T₇₅ + T₇₆ + ... + T₁₄₀.

396880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 327184 = 264^2 + 572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396881) by changing a digit.

396880 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 9660 + ... + 9700.

2³⁹⁶⁸⁸⁰ 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 396880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519498).

396880 is an abundant number, since it is smaller than the sum of its proper divisors (642116).

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

396880 is a wasteful number, since it uses less digits than its factorization.

396880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 396880 is about 629.9841267842. The cubic root of 396880 is about 73.4885600842.

The spelling of 396880 in words is "three hundred ninety-six thousand, eight hundred eighty".