389894400 has 324 divisors, whose sum is σ = 1594745152. Its totient is φ = 89026560.

The previous prime is 389894389. The next prime is 389894423. The reversal of 389894400 is 4498983.

It is a happy number.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402717 + ... + 403683.

Almost surely, 2^389894400 is an apocalyptic number.

389894400 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 389894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797372576).

389894400 is an abundant number, since it is smaller than the sum of its proper divisors (1204850752).

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

389894400 is a wasteful number, since it uses less digits than its factorization.

389894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 389894400 is about 19745.7438451936. The cubic root of 389894400 is about 730.5484088245.

The spelling of 389894400 in words is "three hundred eighty-nine million, eight hundred ninety-four thousand, four hundred".