390461 has 8 divisors (see below), whose sum is σ = 409944. Its totient is φ = 371520.

The previous prime is 390449. The next prime is 390463. The reversal of 390461 is 164093.

390461 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 109561 + 280900 = 331^2 + 530^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 390461 - 2¹⁰ = 389437 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2171 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (51243).

2³⁹⁰⁴⁶¹ is an apocalyptic number.

It is an amenable number.

390461 is a deficient number, since it is larger than the sum of its proper divisors (19483).

390461 is a wasteful number, since it uses less digits than its factorization.

390461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 390461 is about 624.8687862264. The cubic root of 390461 is about 73.0902118599.

It can be divided in two parts, 3904 and 61, that multiplied together give a square (238144 = 488²).

The spelling of 390461 in words is "three hundred ninety thousand, four hundred sixty-one".