389030400 has 360 divisors, whose sum is σ = 1523746224. Its totient is φ = 94003200.

The previous prime is 389030399. The next prime is 389030407. The reversal of 389030400 is 4030983.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (389030407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1267047 + ... + 1267353.

Almost surely, 2^389030400 is an apocalyptic number.

389030400 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 389030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761873112).

389030400 is an abundant number, since it is smaller than the sum of its proper divisors (1134715824).

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

389030400 is a wasteful number, since it uses less digits than its factorization.

389030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 389030400 is about 19723.8535788522. The cubic root of 389030400 is about 730.0083817140.

The spelling of 389030400 in words is "three hundred eighty-nine million, thirty thousand, four hundred".