388314000 has 480 divisors, whose sum is σ = 1520902656. Its totient is φ = 95385600.

The previous prime is 388313971. The next prime is 388314013. The reversal of 388314000 is 413883.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8261977 + ... + 8262023.

Almost surely, 2^388314000 is an apocalyptic number.

388314000 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 388314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760451328).

388314000 is an abundant number, since it is smaller than the sum of its proper divisors (1132588656).

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

388314000 is a wasteful number, since it uses less digits than its factorization.

388314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 388314000 is about 19705.6844590590. The cubic root of 388314000 is about 729.5600025684.

Adding to 388314000 its reverse (413883), we get a palindrome (388727883).

The spelling of 388314000 in words is "three hundred eighty-eight million, three hundred fourteen thousand".