388682920 has 64 divisors (see below), whose sum is σ = 898128000. Its totient is φ = 151327488.

The previous prime is 388682887. The next prime is 388682939. The reversal of 388682920 is 29286883.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 294021 + ... + 295339.

It is an arithmetic number, because the mean of its divisors is an integer number (14033250).

Almost surely, 2^388682920 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 388682920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449064000).

388682920 is an abundant number, since it is smaller than the sum of its proper divisors (509445080).

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

388682920 is a wasteful number, since it uses less digits than its factorization.

388682920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 388682920 is about 19715.0429875260. The cubic root of 388682920 is about 729.7909703638.

The spelling of 388682920 in words is "three hundred eighty-eight million, six hundred eighty-two thousand, nine hundred twenty".