390464 has 14 divisors (see below), whose sum is σ = 774954. Its totient is φ = 195200.

The previous prime is 390463. The next prime is 390479. The reversal of 390464 is 464093.

It can be written as a sum of positive squares in only one way, i.e., 350464 + 40000 = 592^2 + 200^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2987 + ... + 3114.

2³⁹⁰⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

390464 is a deficient number, since it is larger than the sum of its proper divisors (384490).

390464 is an equidigital number, since it uses as much as digits as its factorization.

390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 390464 is about 624.8711867257. The cubic root of 390464 is about 73.0903990490.

The spelling of 390464 in words is "three hundred ninety thousand, four hundred sixty-four".