390824 has 24 divisors (see below), whose sum is σ = 853290. Its totient is φ = 167328.

The previous prime is 390821. The next prime is 390829. The reversal of 390824 is 428093.

It can be written as a sum of positive squares in only one way, i.e., 268324 + 122500 = 518^2 + 350^2 .

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 390793 and 390802.

It is not an unprimeable number, because it can be changed into a prime (390821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107 + ... + 890.

2³⁹⁰⁸²⁴ is an apocalyptic number.

It is an amenable number.

390824 is an abundant number, since it is smaller than the sum of its proper divisors (462466).

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

390824 is a wasteful number, since it uses less digits than its factorization.

390824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 390824 is about 625.1591797295. The cubic root of 390824 is about 73.1128547779.

The spelling of 390824 in words is "three hundred ninety thousand, eight hundred twenty-four".