390888288 has 192 divisors, whose sum is σ = 1330560000. Its totient is φ = 111597696.

The previous prime is 390888283. The next prime is 390888317. The reversal of 390888288 is 882888093.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390888283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295693 + ... + 297011.

It is an arithmetic number, because the mean of its divisors is an integer number (6930000).

Almost surely, 2^390888288 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 390888288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280000).

390888288 is an abundant number, since it is smaller than the sum of its proper divisors (939671712).

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

390888288 is a wasteful number, since it uses less digits than its factorization.

390888288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 390888288 is about 19770.8949721554. The cubic root of 390888288 is about 731.1686342078.

The spelling of 390888288 in words is "three hundred ninety million, eight hundred eighty-eight thousand, two hundred eighty-eight".