389917440 has 432 divisors, whose sum is σ = 1566897696. Its totient is φ = 88473600.

The previous prime is 389917417. The next prime is 389917453. The reversal of 389917440 is 44719983.

It is a super-2 number, since 2×389917440² = 304071220032307200, which contains 22 as substring.

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, 2154150 + ... + 2154330.

It is an arithmetic number, because the mean of its divisors is an integer number (3627078).

Almost surely, 2^389917440 is an apocalyptic number.

389917440 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 389917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783448848).

389917440 is an abundant number, since it is smaller than the sum of its proper divisors (1176980256).

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

389917440 is a wasteful number, since it uses less digits than its factorization.

389917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 389917440 is about 19746.3272534413. The cubic root of 389917440 is about 730.5627986215.

The spelling of 389917440 in words is "three hundred eighty-nine million, nine hundred seventeen thousand, four hundred forty".