388475400 has 96 divisors (see below), whose sum is σ = 1211797440. Its totient is φ = 102946560.

The previous prime is 388475383. The next prime is 388475401. The reversal of 388475400 is 4574883.

It is not an unprimeable number, because it can be changed into a prime (388475401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98262 + ... + 102138.

It is an arithmetic number, because the mean of its divisors is an integer number (12622890).

Almost surely, 2^388475400 is an apocalyptic number.

388475400 is a gapful number since it is divisible by the number (30) 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 388475400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605898720).

388475400 is an abundant number, since it is smaller than the sum of its proper divisors (823322040).

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

388475400 is a wasteful number, since it uses less digits than its factorization.

388475400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 388475400 is about 19709.7792986121. The cubic root of 388475400 is about 729.6610674060.

The spelling of 388475400 in words is "three hundred eighty-eight million, four hundred seventy-five thousand, four hundred".