389076480 has 320 divisors, whose sum is σ = 1491779520. Its totient is φ = 95551488.

The previous prime is 389076469. The next prime is 389076491. The reversal of 389076480 is 84670983.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (389076469) and next prime (389076491).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898344 + ... + 898776.

It is an arithmetic number, because the mean of its divisors is an integer number (4661811).

Almost surely, 2^389076480 is an apocalyptic number.

389076480 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 389076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745889760).

389076480 is an abundant number, since it is smaller than the sum of its proper divisors (1102703040).

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

389076480 is a wasteful number, since it uses less digits than its factorization.

389076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 389076480 is about 19725.0216729919. The cubic root of 389076480 is about 730.0372033332.

The spelling of 389076480 in words is "three hundred eighty-nine million, seventy-six thousand, four hundred eighty".