388164480 has 128 divisors (see below), whose sum is σ = 1349827200. Its totient is φ = 94095360.

The previous prime is 388164467. The next prime is 388164499. The reversal of 388164480 is 84461883.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11931 + ... + 30309.

It is an arithmetic number, because the mean of its divisors is an integer number (10545525).

Almost surely, 2^388164480 is an apocalyptic number.

388164480 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 388164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674913600).

388164480 is an abundant number, since it is smaller than the sum of its proper divisors (961662720).

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

388164480 is a wasteful number, since it uses less digits than its factorization.

388164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412 (or 18400 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 388164480 is about 19701.8902646421. The cubic root of 388164480 is about 729.4663517124.

The spelling of 388164480 in words is "three hundred eighty-eight million, one hundred sixty-four thousand, four hundred eighty".