390030816 has 192 divisors, whose sum is σ = 1222760448. Its totient is φ = 106549248.

The previous prime is 390030811. The next prime is 390030833. The reversal of 390030816 is 618030093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390030811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673836 + ... + 1674068.

It is an arithmetic number, because the mean of its divisors is an integer number (6368544).

Almost surely, 2^390030816 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 390030816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611380224).

390030816 is an abundant number, since it is smaller than the sum of its proper divisors (832729632).

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

390030816 is a wasteful number, since it uses less digits than its factorization.

390030816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 390030816 is about 19749.1978571283. The cubic root of 390030816 is about 730.6336001576.

It can be divided in two parts, 3900 and 30816, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 390030816 in words is "three hundred ninety million, thirty thousand, eight hundred sixteen".