388249920 has 168 divisors, whose sum is σ = 1348365096. Its totient is φ = 102531072.

The previous prime is 388249909. The next prime is 388249943. The reversal of 388249920 is 29942883.

388249920 is a `hidden beast` number, since 388 + 249 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 388247616 = 48^2 + 19704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324844 + ... + 326036.

Almost surely, 2^388249920 is an apocalyptic number.

388249920 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 388249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674182548).

388249920 is an abundant number, since it is smaller than the sum of its proper divisors (960115176).

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

388249920 is a wasteful number, since it uses less digits than its factorization.

388249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 388249920 is about 19704.0584651995. The cubic root of 388249920 is about 729.5198694315.

The spelling of 388249920 in words is "three hundred eighty-eight million, two hundred forty-nine thousand, nine hundred twenty".