390952 has 8 divisors (see below), whose sum is σ = 733050. Its totient is φ = 195472.

The previous prime is 390893. The next prime is 390953. The reversal of 390952 is 259093.

It can be written as a sum of positive squares in only one way, i.e., 367236 + 23716 = 606^2 + 154^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 390952.

It is not an unprimeable number, because it can be changed into a prime (390953) by changing a digit.

390952 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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24427 + ... + 24442.

2³⁹⁰⁹⁵² is an apocalyptic number.

It is an amenable number.

390952 is a deficient number, since it is larger than the sum of its proper divisors (342098).

390952 is a wasteful number, since it uses less digits than its factorization.

390952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48875 (or 48871 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 390952 is about 625.2615452753. The cubic root of 390952 is about 73.1208357139.

The spelling of 390952 in words is "three hundred ninety thousand, nine hundred fifty-two".