388448000 has 144 divisors (see below), whose sum is σ = 988478400. Its totient is φ = 152064000.

The previous prime is 388447993. The next prime is 388448003. The reversal of 388448000 is 844883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388448003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1951901 + ... + 1952099.

Almost surely, 2^388448000 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 388448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494239200).

388448000 is an abundant number, since it is smaller than the sum of its proper divisors (600030400).

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

388448000 is an equidigital number, since it uses as much as digits as its factorization.

388448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 388448000 is about 19709.0841999318. The cubic root of 388448000 is about 729.6439121513.

The spelling of 388448000 in words is "three hundred eighty-eight million, four hundred forty-eight thousand".