388456000 has 112 divisors (see below), whose sum is σ = 979505280. Its totient is φ = 152563200.

The previous prime is 388455983. The next prime is 388456051. The reversal of 388456000 is 654883.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct 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, 471589 + ... + 472411.

Almost surely, 2^388456000 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 388456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489752640).

388456000 is an abundant number, since it is smaller than the sum of its proper divisors (591049280).

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

388456000 is an equidigital number, since it uses as much as digits as its factorization.

388456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 388456000 is about 19709.2871509854. The cubic root of 388456000 is about 729.6489210682.

The spelling of 388456000 in words is "three hundred eighty-eight million, four hundred fifty-six thousand".