390305965 has 32 divisors (see below), whose sum is σ = 554434560. Its totient is φ = 258120000.

The previous prime is 390305963. The next prime is 390305977. The reversal of 390305965 is 569503093.

It is not a de Polignac number, because 390305965 - 2¹ = 390305963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390305963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519340 + ... + 520090.

It is an arithmetic number, because the mean of its divisors is an integer number (17326080).

Almost surely, 2^390305965 is an apocalyptic number.

390305965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

390305965 is a deficient number, since it is larger than the sum of its proper divisors (164128595).

390305965 is a wasteful number, since it uses less digits than its factorization.

390305965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273.

The product of its (nonzero) digits is 109350, while the sum is 40.

The square root of 390305965 is about 19756.1627093927. The cubic root of 390305965 is about 730.8053693628.

The spelling of 390305965 in words is "three hundred ninety million, three hundred five thousand, nine hundred sixty-five".