390351 has 8 divisors (see below), whose sum is σ = 560560. Its totient is φ = 240192.

The previous prime is 390347. The next prime is 390353. The reversal of 390351 is 153093.

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

It is not a de Polignac number, because 390351 - 2² = 390347 is a prime.

390351 is a modest number, since divided by 351 gives 39 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390353) 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, 4966 + ... + 5043.

It is an arithmetic number, because the mean of its divisors is an integer number (70070).

2³⁹⁰³⁵¹ is an apocalyptic number.

390351 is a deficient number, since it is larger than the sum of its proper divisors (170209).

390351 is a wasteful number, since it uses less digits than its factorization.

390351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10025.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 390351 is about 624.7807615476. The cubic root of 390351 is about 73.0833475991.

It can be divided in two parts, 390 and 351, that added together give a triangular number (741 = T₃₈).

The spelling of 390351 in words is "three hundred ninety thousand, three hundred fifty-one".