390465 has 12 divisors (see below), whose sum is σ = 676884. Its totient is φ = 208224.

The previous prime is 390463. The next prime is 390479. The reversal of 390465 is 564093.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 269361 = 348^2 + 519^2 .

It is not a de Polignac number, because 390465 - 2¹ = 390463 is a prime.

It is a Curzon number.

390465 is a lucky number.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (390463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4294 + ... + 4383.

It is an arithmetic number, because the mean of its divisors is an integer number (56407).

2³⁹⁰⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

390465 is a deficient number, since it is larger than the sum of its proper divisors (286419).

390465 is a wasteful number, since it uses less digits than its factorization.

390465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688 (or 8685 counting only the distinct ones).

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

The square root of 390465 is about 624.8719868901. The cubic root of 390465 is about 73.0904614451.

It can be divided in two parts, 3904 and 65, that added together give a square (3969 = 63²).

The spelling of 390465 in words is "three hundred ninety thousand, four hundred sixty-five".