388260972 has 192 divisors, whose sum is σ = 1174118400. Its totient is φ = 109719360.

The previous prime is 388260967. The next prime is 388260973. The reversal of 388260972 is 279062883.

388260972 is a `hidden beast` number, since 38 + 8 + 2 + 609 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (388260973) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2324833 + ... + 2324999.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2^388260972 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 388260972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587059200).

388260972 is an abundant number, since it is smaller than the sum of its proper divisors (785857428).

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

388260972 is a wasteful number, since it uses less digits than its factorization.

388260972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 388260972 is about 19704.3389130415. The cubic root of 388260972 is about 729.5267915854.

The spelling of 388260972 in words is "three hundred eighty-eight million, two hundred sixty thousand, nine hundred seventy-two".