390946905 has 48 divisors (see below), whose sum is σ = 711809280. Its totient is φ = 205815168.

The previous prime is 390946889. The next prime is 390946937. The reversal of 390946905 is 509649093.

It is a happy number.

It is not a de Polignac number, because 390946905 - 2⁴ = 390946889 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93949 + ... + 98021.

It is an arithmetic number, because the mean of its divisors is an integer number (14829360).

Almost surely, 2^390946905 is an apocalyptic number.

It is an amenable number.

390946905 is a deficient number, since it is larger than the sum of its proper divisors (320862375).

390946905 is an equidigital number, since it uses as much as digits as its factorization.

390946905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 390946905 is about 19772.3773229220. The cubic root of 390946905 is about 731.2051806850.

The spelling of 390946905 in words is "three hundred ninety million, nine hundred forty-six thousand, nine hundred five".