390516768 has 48 divisors (see below), whose sum is σ = 1139009760. Its totient is φ = 130171968.

The previous prime is 390516761. The next prime is 390516769. The reversal of 390516768 is 867615093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (390516761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225130 + ... + 226857.

It is an arithmetic number, because the mean of its divisors is an integer number (23729370).

Almost surely, 2^390516768 is an apocalyptic number.

It is an amenable number.

390516768 is an abundant number, since it is smaller than the sum of its proper divisors (748492992).

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

390516768 is a wasteful number, since it uses less digits than its factorization.

390516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452006 (or 451992 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 390516768 is about 19761.4971092779. The cubic root of 390516768 is about 730.9369142287.

The spelling of 390516768 in words is "three hundred ninety million, five hundred sixteen thousand, seven hundred sixty-eight".