399464 has 32 divisors (see below), whose sum is σ = 846720. Its totient is φ = 175296.

The previous prime is 399439. The next prime is 399473. The reversal of 399464 is 464993.

It is a happy number.

399464 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is an unprimeable number.

399464 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 7 ways as a sum of consecutive naturals, for example, 2309 + ... + 2475.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2³⁹⁹⁴⁶⁴ 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 399464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

399464 is an abundant number, since it is smaller than the sum of its proper divisors (447256).

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

399464 is a wasteful number, since it uses less digits than its factorization.

399464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

The square root of 399464 is about 632.0316447774. The cubic root of 399464 is about 73.6477045804.

It can be divided in two parts, 399 and 464, that multiplied together give a triangular number (185136 = T₆₀₈).

The spelling of 399464 in words is "three hundred ninety-nine thousand, four hundred sixty-four".