396450 has 36 divisors (see below), whose sum is σ = 1066338. Its totient is φ = 105600.

The previous prime is 396449. The next prime is 396479. The reversal of 396450 is 54693.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 227529 + 168921 = 477^2 + 411^2 .

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 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 in 17 ways as a sum of consecutive naturals, for example, 10 + ... + 890.

2³⁹⁶⁴⁵⁰ is an apocalyptic number.

396450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 396450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533169).

396450 is an abundant number, since it is smaller than the sum of its proper divisors (669888).

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

396450 is a wasteful number, since it uses less digits than its factorization.

396450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 396450 is about 629.6427558545. The cubic root of 396450 is about 73.4620100774.

The spelling of 396450 in words is "three hundred ninety-six thousand, four hundred fifty".