389480400 has 180 divisors, whose sum is σ = 1402014432. Its totient is φ = 103835520.

The previous prime is 389480393. The next prime is 389480401. The reversal of 389480400 is 4084983.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389480401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95197 + ... + 99203.

Almost surely, 2^389480400 is an apocalyptic number.

389480400 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 389480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701007216).

389480400 is an abundant number, since it is smaller than the sum of its proper divisors (1012534032).

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

389480400 is a wasteful number, since it uses less digits than its factorization.

389480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4017 counting only the distinct ones).

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

The square root of 389480400 is about 19735.2577890434. The cubic root of 389480400 is about 730.2897454931.

The spelling of 389480400 in words is "three hundred eighty-nine million, four hundred eighty thousand, four hundred".