388807146 has 216 divisors, whose sum is σ = 1133926560. Its totient is φ = 94011840.

The previous prime is 388807117. The next prime is 388807151. The reversal of 388807146 is 641708883.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 12542151 + ... + 12542181.

It is an arithmetic number, because the mean of its divisors is an integer number (5249660).

Almost surely, 2^388807146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388807146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566963280).

388807146 is an abundant number, since it is smaller than the sum of its proper divisors (745119414).

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

388807146 is a wasteful number, since it uses less digits than its factorization.

388807146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 388807146 is about 19718.1932742328. The cubic root of 388807146 is about 729.8687109862.

The spelling of 388807146 in words is "three hundred eighty-eight million, eight hundred seven thousand, one hundred forty-six".