390394368 has 480 divisors, whose sum is σ = 1489488000. Its totient is φ = 97542144.

The previous prime is 390394357. The next prime is 390394369. The reversal of 390394368 is 863493093.

It is a super-2 number, since 2×390394368² = 304815525132238848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390394369) 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 47 ways as a sum of consecutive naturals, for example, 20547063 + ... + 20547081.

It is an arithmetic number, because the mean of its divisors is an integer number (3103100).

Almost surely, 2^390394368 is an apocalyptic number.

390394368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744744000).

390394368 is an abundant number, since it is smaller than the sum of its proper divisors (1099093632).

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

390394368 is a wasteful number, since it uses less digits than its factorization.

390394368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 390394368 is about 19758.3999352174. The cubic root of 390394368 is about 730.8605401910.

The spelling of 390394368 in words is "three hundred ninety million, three hundred ninety-four thousand, three hundred sixty-eight".