396512 has 12 divisors (see below), whose sum is σ = 780696. Its totient is φ = 198240.

The previous prime is 396509. The next prime is 396523. The reversal of 396512 is 215693.

It is a super-2 number, since 2×396512² = 314443532288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 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 as a sum of consecutive naturals, namely, 6164 + ... + 6227.

It is an arithmetic number, because the mean of its divisors is an integer number (65058).

2³⁹⁶⁵¹² is an apocalyptic number.

396512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

396512 is a deficient number, since it is larger than the sum of its proper divisors (384184).

396512 is a wasteful number, since it uses less digits than its factorization.

396512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12401 (or 12393 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 396512 is about 629.6919881974. The cubic root of 396512 is about 73.4658394020.

The spelling of 396512 in words is "three hundred ninety-six thousand, five hundred twelve".