390433568 has 54 divisors (see below), whose sum is σ = 895958091. Its totient is φ = 166993344.

The previous prime is 390433567. The next prime is 390433573. The reversal of 390433568 is 865334093.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 195216784 + 195216784 = 13972^2 + 13972^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13972.

It is not an unprimeable number, because it can be changed into a prime (390433567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 782183 + ... + 782681.

Almost surely, 2^390433568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390433568

390433568 is an abundant number, since it is smaller than the sum of its proper divisors (505524523).

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

390433568 is an frugal number, since it uses more digits than its factorization.

390433568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The square root of 390433568 is about 19759.3918934769. The cubic root of 390433568 is about 730.8850015875.

The spelling of 390433568 in words is "three hundred ninety million, four hundred thirty-three thousand, five hundred sixty-eight".