389305440 has 576 divisors, whose sum is σ = 1585059840. Its totient is φ = 89579520.

The previous prime is 389305439. The next prime is 389305447. The reversal of 389305440 is 44503983.

389305440 is a `hidden beast` number, since 3 + 89 + 30 + 544 + 0 = 666.

It is a super-2 number, since 2×389305440² = 303117451227187200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 389305395 and 389305404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389305447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12558225 + ... + 12558255.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^389305440 is an apocalyptic number.

389305440 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 389305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

389305440 is an abundant number, since it is smaller than the sum of its proper divisors (1195754400).

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

389305440 is a wasteful number, since it uses less digits than its factorization.

389305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 389305440 is about 19730.8246153069. The cubic root of 389305440 is about 730.1803770192.

The spelling of 389305440 in words is "three hundred eighty-nine million, three hundred five thousand, four hundred forty".