390319248 has 40 divisors (see below), whose sum is σ = 1099992096. Its totient is φ = 118278400.

The previous prime is 390319243. The next prime is 390319249. The reversal of 390319248 is 842913093.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (390319243) 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, 369093 + ... + 370148.

Almost surely, 2^390319248 is an apocalyptic number.

It is an amenable number.

390319248 is an abundant number, since it is smaller than the sum of its proper divisors (709672848).

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

390319248 is a wasteful number, since it uses less digits than its factorization.

390319248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739263 (or 739257 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 390319248 is about 19756.4988801154. The cubic root of 390319248 is about 730.8136595919.

The spelling of 390319248 in words is "three hundred ninety million, three hundred nineteen thousand, two hundred forty-eight".