388962000 has 500 divisors, whose sum is σ = 1639021956. Its totient is φ = 88905600.

The previous prime is 388961983. The next prime is 388962037. The reversal of 388962000 is 269883.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 376515216 = 3528^2 + 19404^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 55565997 + ... + 55566003.

Almost surely, 2^388962000 is an apocalyptic number.

388962000 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 388962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819510978).

388962000 is an abundant number, since it is smaller than the sum of its proper divisors (1250059956).

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

388962000 is an frugal number, since it uses more digits than its factorization.

388962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 388962000 is about 19722.1195615481. The cubic root of 388962000 is about 729.9655954262.

The spelling of 388962000 in words is "three hundred eighty-eight million, nine hundred sixty-two thousand".