390329792 has 112 divisors (see below), whose sum is σ = 864108000. Its totient is φ = 174096384.

The previous prime is 390329777. The next prime is 390329831. The reversal of 390329792 is 297923093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2808059 + ... + 2808197.

It is an arithmetic number, because the mean of its divisors is an integer number (7715250).

Almost surely, 2^390329792 is an apocalyptic number.

390329792 is a gapful number since it is divisible by the number (32) 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 390329792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432054000).

390329792 is an abundant number, since it is smaller than the sum of its proper divisors (473778208).

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

390329792 is a wasteful number, since it uses less digits than its factorization.

390329792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 44.

The square root of 390329792 is about 19756.7657272136. The cubic root of 390329792 is about 730.8202402135.

The spelling of 390329792 in words is "three hundred ninety million, three hundred twenty-nine thousand, seven hundred ninety-two".