389880720 has 240 divisors, whose sum is σ = 1414878192. Its totient is φ = 95846400.

The previous prime is 389880679. The next prime is 389880731. The reversal of 389880720 is 27088983.

It can be written as a sum of positive squares in 8 ways, for example, as 53231616 + 336649104 = 7296^2 + 18348^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648420 + ... + 649020.

Almost surely, 2^389880720 is an apocalyptic number.

389880720 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 389880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707439096).

389880720 is an abundant number, since it is smaller than the sum of its proper divisors (1024997472).

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

389880720 is a wasteful number, since it uses less digits than its factorization.

389880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 389880720 is about 19745.3974383905. The cubic root of 389880720 is about 730.5398646143.

The spelling of 389880720 in words is "three hundred eighty-nine million, eight hundred eighty thousand, seven hundred twenty".