390429116 has 48 divisors (see below), whose sum is σ = 861477120. Its totient is φ = 150395520.

The previous prime is 390429113. The next prime is 390429131. The reversal of 390429116 is 611924093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390429113) 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 15 ways as a sum of consecutive naturals, for example, 20291 + ... + 34533.

It is an arithmetic number, because the mean of its divisors is an integer number (17947440).

Almost surely, 2^390429116 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 390429116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430738560).

390429116 is an abundant number, since it is smaller than the sum of its proper divisors (471048004).

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

390429116 is a wasteful number, since it uses less digits than its factorization.

390429116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354 (or 14352 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 390429116 is about 19759.2792378670. The cubic root of 390429116 is about 730.8822235542.

The spelling of 390429116 in words is "three hundred ninety million, four hundred twenty-nine thousand, one hundred sixteen".