388085280 has 192 divisors, whose sum is σ = 1377202176. Its totient is φ = 91008000.

The previous prime is 388085237. The next prime is 388085281. The reversal of 388085280 is 82580883.

It is a super-2 number, since 2×388085280² = 301220369105356800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (388085281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162495 + ... + 164865.

It is an arithmetic number, because the mean of its divisors is an integer number (7172928).

Almost surely, 2^388085280 is an apocalyptic number.

388085280 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 388085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688601088).

388085280 is an abundant number, since it is smaller than the sum of its proper divisors (989116896).

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

388085280 is a wasteful number, since it uses less digits than its factorization.

388085280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 388085280 is about 19699.8802026814. The cubic root of 388085280 is about 729.4167355765.

The spelling of 388085280 in words is "three hundred eighty-eight million, eighty-five thousand, two hundred eighty".