390638461 has 24 divisors (see below), whose sum is σ = 445139064. Its totient is φ = 341452800.

The previous prime is 390638459. The next prime is 390638467. The reversal of 390638461 is 164836093.

It can be written as a sum of positive squares in 4 ways, for example, as 30360100 + 360278361 = 5510^2 + 18981^2 .

It is not a de Polignac number, because 390638461 - 2¹ = 390638459 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390638467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324661 + ... + 325861.

It is an arithmetic number, because the mean of its divisors is an integer number (18547461).

Almost surely, 2^390638461 is an apocalyptic number.

It is an amenable number.

390638461 is a deficient number, since it is larger than the sum of its proper divisors (54500603).

390638461 is a wasteful number, since it uses less digits than its factorization.

390638461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 390638461 is about 19764.5759124753. The cubic root of 390638461 is about 731.0128313000.

It can be divided in two parts, 39063 and 8461, that added together give a square (47524 = 218²).

The spelling of 390638461 in words is "three hundred ninety million, six hundred thirty-eight thousand, four hundred sixty-one".