396810 has 24 divisors (see below), whose sum is σ = 1031940. Its totient is φ = 105792.

The previous prime is 396733. The next prime is 396833. The reversal of 396810 is 18693.

It can be written as a sum of positive squares in 2 ways, for example, as 356409 + 40401 = 597^2 + 201^2 .

It is a super-4 number, since 4×396810⁴ (a number of 23 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon 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 11 ways as a sum of consecutive naturals, for example, 2115 + ... + 2294.

2³⁹⁶⁸¹⁰ is an apocalyptic number.

396810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

396810 is an abundant number, since it is smaller than the sum of its proper divisors (635130).

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

396810 is a wasteful number, since it uses less digits than its factorization.

396810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 396810 is about 629.9285673789. The cubic root of 396810 is about 73.4842392973.

The spelling of 396810 in words is "three hundred ninety-six thousand, eight hundred ten".