389400480 has 384 divisors, whose sum is σ = 1586995200. Its totient is φ = 87340032.

The previous prime is 389400433. The next prime is 389400491. The reversal of 389400480 is 84004983.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2388879 + ... + 2389041.

It is an arithmetic number, because the mean of its divisors is an integer number (4132800).

Almost surely, 2^389400480 is an apocalyptic number.

389400480 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 389400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793497600).

389400480 is an abundant number, since it is smaller than the sum of its proper divisors (1197594720).

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

389400480 is a wasteful number, since it uses less digits than its factorization.

389400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 389400480 is about 19733.2328826272. The cubic root of 389400480 is about 730.2397911188.

The spelling of 389400480 in words is "three hundred eighty-nine million, four hundred thousand, four hundred eighty".