390464093 has 8 divisors (see below), whose sum is σ = 395330040. Its totient is φ = 385608960.

The previous prime is 390464059. The next prime is 390464101.

390464093 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 31058329 + 359405764 = 5573^2 + 18958^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 390464093 - 2⁶ = 390464029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390464023) 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, 88721 + ... + 93017.

It is an arithmetic number, because the mean of its divisors is an integer number (49416255).

Almost surely, 2^390464093 is an apocalyptic number.

It is an amenable number.

390464093 is a deficient number, since it is larger than the sum of its proper divisors (4865947).

390464093 is a wasteful number, since it uses less digits than its factorization.

390464093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407.

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 390464093 is about 19760.1642958757. The cubic root of 390464093 is about 730.9040485181.

The spelling of 390464093 in words is "three hundred ninety million, four hundred sixty-four thousand, ninety-three".