388540152 has 320 divisors, whose sum is σ = 1463616000. Its totient is φ = 93000960.

The previous prime is 388540147. The next prime is 388540183. The reversal of 388540152 is 251045883.

It is a happy number.

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 79 ways as a sum of consecutive naturals, for example, 648349 + ... + 648947.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^388540152 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 388540152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808000).

388540152 is an abundant number, since it is smaller than the sum of its proper divisors (1075075848).

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

388540152 is a wasteful number, since it uses less digits than its factorization.

388540152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 388540152 is about 19711.4218665220. The cubic root of 388540152 is about 729.7016056989.

The spelling of 388540152 in words is "three hundred eighty-eight million, five hundred forty thousand, one hundred fifty-two".