388601280 has 224 divisors, whose sum is σ = 1405615680. Its totient is φ = 101007360.

The previous prime is 388601251. The next prime is 388601287. The reversal of 388601280 is 82106883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388601287) 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 31 ways as a sum of consecutive naturals, for example, 353692 + ... + 354788.

It is an arithmetic number, because the mean of its divisors is an integer number (6275070).

Almost surely, 2^388601280 is an apocalyptic number.

388601280 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 388601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702807840).

388601280 is an abundant number, since it is smaller than the sum of its proper divisors (1017014400).

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

388601280 is a wasteful number, since it uses less digits than its factorization.

388601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 388601280 is about 19712.9723786140. The cubic root of 388601280 is about 729.7398710369.

The spelling of 388601280 in words is "three hundred eighty-eight million, six hundred one thousand, two hundred eighty".