390432608 has 48 divisors (see below), whose sum is σ = 817133184. Its totient is φ = 182999040.

The previous prime is 390432607. The next prime is 390432611. The reversal of 390432608 is 806234093.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390432607) 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, 149393 + ... + 151983.

It is an arithmetic number, because the mean of its divisors is an integer number (17023608).

Almost surely, 2^390432608 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 390432608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408566592).

390432608 is an abundant number, since it is smaller than the sum of its proper divisors (426700576).

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

390432608 is a wasteful number, since it uses less digits than its factorization.

390432608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 390432608 is about 19759.3676012164. The cubic root of 390432608 is about 730.8844025525.

The spelling of 390432608 in words is "three hundred ninety million, four hundred thirty-two thousand, six hundred eight".