390609765 has 192 divisors, whose sum is σ = 915812352. Its totient is φ = 149299200.

The previous prime is 390609763. The next prime is 390609803. The reversal of 390609765 is 567906093.

390609765 is a `hidden beast` number, since 39 + 0 + 609 + 7 + 6 + 5 = 666.

It is not a de Polignac number, because 390609765 - 2¹ = 390609763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 390609765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390609763) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2157975 + ... + 2158155.

It is an arithmetic number, because the mean of its divisors is an integer number (4769856).

Almost surely, 2^390609765 is an apocalyptic number.

390609765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

390609765 is an abundant number, since it is smaller than the sum of its proper divisors (525202587).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

390609765 is a wasteful number, since it uses less digits than its factorization.

390609765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 390609765 is about 19763.8499538931. The cubic root of 390609765 is about 730.9949309821.

It can be divided in two parts, 39060 and 9765, that multiplied together give a square (381420900 = 19530²).

The spelling of 390609765 in words is "three hundred ninety million, six hundred nine thousand, seven hundred sixty-five".